Ratio and Proportion - SSAT Middle Level Quantitative
Card 1 of 776
At a local microchip factory, there are 
managers for every 
workers. How many managers are needed for 
workers?
At a local microchip factory, there are
Tap to reveal answer
In order to solve this problem, we will create a table of proportions using the following ratio.
If we solve for the table, then we can find the number of managers needed for 
.
The factory will need 
.
In order to solve this problem, we will create a table of proportions using the following ratio.
If we solve for the table, then we can find the number of managers needed for
The factory will need
← Didn't Know|Knew It →
At a car production company, manufacturers place 
tires and 
transmission on every car in the production line. A manager orders 
tires, how many transmissions should he order?
At a car production company, manufacturers place
Tap to reveal answer
In order to solve this problem we must make a table of ratios. In the question we are given the base ratio:
We can use this ratio to make a table.
According to the table, the manager should order 
.
In order to solve this problem we must make a table of ratios. In the question we are given the base ratio:
We can use this ratio to make a table.
According to the table, the manager should order
← Didn't Know|Knew It →
At a car production company, manufacturers place 
tires and 
transmission on every car in the production line. A manager orders 
tires, how many transmissions should he order?
At a car production company, manufacturers place
Tap to reveal answer
In order to solve this problem we must make a table of ratios. In the question we are given the base ratio:
We can use this ratio to make a table.
According to the table, the manager should order 
.
In order to solve this problem we must make a table of ratios. In the question we are given the base ratio:
We can use this ratio to make a table.
According to the table, the manager should order
← Didn't Know|Knew It →
At a car production company, manufacturers place 
tires and 
transmission on every car in the production line. A manager orders 
tires, how many transmissions should he order?
At a car production company, manufacturers place
Tap to reveal answer
In order to solve this problem we must make a table of ratios. In the question we are given the base ratio:
We can use this ratio to make a table.
According to the table, the manager should order 
.
In order to solve this problem we must make a table of ratios. In the question we are given the base ratio:
We can use this ratio to make a table.
According to the table, the manager should order
← Didn't Know|Knew It →
At a car production company, manufacturers place 
tires and 
transmission on every car in the production line. A manager orders 
tires, how many transmissions should he order?
At a car production company, manufacturers place
Tap to reveal answer
In order to solve this problem we must make a table of ratios. In the question we are given the base ratio:
We can use this ratio to make a table.
According to the table, the manager should order 
.
In order to solve this problem we must make a table of ratios. In the question we are given the base ratio:
We can use this ratio to make a table.
According to the table, the manager should order
← Didn't Know|Knew It →
At a car production company, manufacturers place 
tires and 
transmission on every car in the production line. A manager orders 
tires, how many transmissions should he order?
At a car production company, manufacturers place
Tap to reveal answer
In order to solve this problem we must make a table of ratios. In the question we are given the base ratio:
We can use this ratio to make a table.
According to the table, the manager should order 
.
In order to solve this problem we must make a table of ratios. In the question we are given the base ratio:
We can use this ratio to make a table.
According to the table, the manager should order
← Didn't Know|Knew It →
Give the value of 
that makes this proportion statement correct:
Give the value of
Tap to reveal answer
Cross-multiply, then solve for 
:
Cross-multiply, then solve for
← Didn't Know|Knew It →
Traffic from the suburbs and farms into a city typically follows an observable pattern. On any given morning there are 
cars for every 
trucks. On one particular busy morning there are 
trucks. How many cars are sitting in traffic?
Traffic from the suburbs and farms into a city typically follows an observable pattern. On any given morning there are
Tap to reveal answer
In order to solve this problem we must make a table of ratios. In the question we are given the base ratio:
We can use this ratio to make a table.
According to the table, there are 
.
In order to solve this problem we must make a table of ratios. In the question we are given the base ratio:
We can use this ratio to make a table.
According to the table, there are
← Didn't Know|Knew It →
Traffic from the suburbs and farms into a city typically follows an observable pattern. On any given morning there are 
cars for every 
trucks. On one particular busy morning there are 
trucks. How many cars are sitting in traffic?
Traffic from the suburbs and farms into a city typically follows an observable pattern. On any given morning there are
Tap to reveal answer
In order to solve this problem we must make a table of ratios. In the question we are given the base ratio:
We can use this ratio to make a table.
According to the table, there are 
.
In order to solve this problem we must make a table of ratios. In the question we are given the base ratio:
We can use this ratio to make a table.
According to the table, there are
← Didn't Know|Knew It →
Give the value of 
that makes this proportion statement correct:
Give the value of
Tap to reveal answer
Cross-multiply, then solve for 
:
Cross-multiply, then solve for
← Didn't Know|Knew It →
What is the value of 
in the proportion?
What is the value of
Tap to reveal answer
Simplify 
by dividing both the numerator and denominator by 8 so that it simplifies to 
. Now it should be obvious that 
in order for both sides of the equation to be equal.
Simplify
← Didn't Know|Knew It →
Phil earns 
for each hour he works. For every hour he works, he then gives 
to his sister Lola. How much money will Lola have if Phil works 
hours?
Phil earns
Tap to reveal answer
To Solve:
Multiply the 
Lola receives by the 
hours Phil worked:
Phil will give Lola 
if he works 
hours.
To Solve:
Multiply the
Phil will give Lola
← Didn't Know|Knew It →
For every $3 I earn at work, I donate $1 to charity. How much money will I donate if I make $27.00/week.
For every $3 I earn at work, I donate $1 to charity. How much money will I donate if I make $27.00/week.
Tap to reveal answer
To find the amount of the donation, divide 27 by 3.
The answer is 9.
To find the amount of the donation, divide 27 by 3.
The answer is 9.
← Didn't Know|Knew It →
Give the value of 
that makes this proportion statement correct:
Give the value of
Tap to reveal answer
Multiply both sides by 80 and solve for 
:
Multiply both sides by 80 and solve for
← Didn't Know|Knew It →
Give the value of 
that makes this proportion statement correct:
Give the value of
Tap to reveal answer
Multiply both sides by 75 and solve for 
:
Multiply both sides by 75 and solve for
← Didn't Know|Knew It →
Read this problem, but do not solve it.
4 out of every 5 dentists surveyed recommend Triton sugarless gum to patients who chew gum. If 2,100 dentists were surveyed, how many dentists recommended Triton?
If we let 
be the number of dentists who recommended Triton, what proportion statement could be used to solve this problem?
Read this problem, but do not solve it.
4 out of every 5 dentists surveyed recommend Triton sugarless gum to patients who chew gum. If 2,100 dentists were surveyed, how many dentists recommended Triton?
If we let
Tap to reveal answer
The ratios that are set equal to each other in a proportion statement must compare the same quantities in the same order.
In each ratio, we can put number of dentists who recommended Triton in the numerator, and number of dentists who were surveyed in the denominator.
One ratio is 4 dentists recommending Triton to 5 dentists surveyed (the general ratio): this is 
.
The other ratio is 
dentists recommending Triton to 2,100 dentists surveyed (the actual number); this is 
.
The proportion statement sets these equal:
which is the correct choice.
The ratios that are set equal to each other in a proportion statement must compare the same quantities in the same order.
In each ratio, we can put number of dentists who recommended Triton in the numerator, and number of dentists who were surveyed in the denominator.
One ratio is 4 dentists recommending Triton to 5 dentists surveyed (the general ratio): this is
The other ratio is
The proportion statement sets these equal:
which is the correct choice.
← Didn't Know|Knew It →
Read this problem, but do not solve it: Two inches on a map represent twenty-five miles of actual distance. If Pierce Springs and Buchanan Falls are eight inches apart on the map, how far apart are they in actuality?
If we let 
be the actual distance between Pierce Springs and Buchanan Falls, which proportion could be used to solve this problem?
Read this problem, but do not solve it: Two inches on a map represent twenty-five miles of actual distance. If Pierce Springs and Buchanan Falls are eight inches apart on the map, how far apart are they in actuality?
If we let
Tap to reveal answer
The ratios that are set equal to each other in a proportion must compare the same quantities in the same order.
In each ratio, we can put number of map inches in the numerator and the number of actual miles in the denominator.
One ratio is two map inches to twenty-five actual miles (the map scale); this ratio is 
.
The other ratio is eight map inches to 
actual miles (the distance between Pierce Springs and Buchanan Falls); this ratio is 
.
The proportion statement that sets these equal to each other is 
, and is therefore the correct choice.
The ratios that are set equal to each other in a proportion must compare the same quantities in the same order.
In each ratio, we can put number of map inches in the numerator and the number of actual miles in the denominator.
One ratio is two map inches to twenty-five actual miles (the map scale); this ratio is
The other ratio is eight map inches to
The proportion statement that sets these equal to each other is
← Didn't Know|Knew It →
Robert, Jeff, and Paul are sharing a bag of chips that contains 20 chips. The three of them eat all of the chips. If Robert has eaten 8 chips, and Jeff eats twice as many chips as Paul, how many chips has Jeff eaten?
Robert, Jeff, and Paul are sharing a bag of chips that contains 20 chips. The three of them eat all of the chips. If Robert has eaten 8 chips, and Jeff eats twice as many chips as Paul, how many chips has Jeff eaten?
Tap to reveal answer
What do we know? We know that there are 20 chips in the bag, and we know that Robert has eaten 8 of them. Thus, we can calculate that there are 
chips remaining. Of this remaining, Jeff has eaten 2 parts and Paul has eaten 1 part: that's 3 parts, so let's calculate how many chips constitute each part:
So, each part is equal to 4 chips.
Jeff has eaten 2 parts, so 
gives us our answer.
What do we know? We know that there are 20 chips in the bag, and we know that Robert has eaten 8 of them. Thus, we can calculate that there are
So, each part is equal to 4 chips.
Jeff has eaten 2 parts, so
← Didn't Know|Knew It →
A Spanish class has 
seniors and 
juniors. What proportion of the class is juniors?
A Spanish class has
Tap to reveal answer
A proportion is an amount that is part of a whole. There are 
students in the class in total. This question asks for the proportion that are juniors. There are 
juniors out of 
students, therefore the proportion is:
A proportion is an amount that is part of a whole. There are
← Didn't Know|Knew It →
The distance between Youngston and Wynne is 240 miles in reality and three inches on a map. On the same map, Charlesville and Petersburg are one and three-fourths inches apart. How far apart are they in reality?
The distance between Youngston and Wynne is 240 miles in reality and three inches on a map. On the same map, Charlesville and Petersburg are one and three-fourths inches apart. How far apart are they in reality?
Tap to reveal answer
240 real miles is represented by 3 map inches, making this a ratio of 
real miles per map inch.
Therefore, one and three-fourths inches represents
miles, the distance between Charlesville and Petersburg.
240 real miles is represented by 3 map inches, making this a ratio of
Therefore, one and three-fourths inches represents
← Didn't Know|Knew It →