How to find the part from the whole - SSAT Middle Level Quantitative
Card 1 of 464
Brett buys a shirt. The original price was 
, but the shirt is on sale for 
off. Additionally, Brett has a 
off coupon that he uses after the 
off is applied. What is the price of the shirt in dollars, before tax?
Brett buys a shirt. The original price was
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If the original price of the shirt was 
, but it is on sale for 
off, then that means the shirt will be discounted by 
because 
of 
is 
. 
. Additionally, with the 
off coupon, the final price would be 
.
If the original price of the shirt was
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Sweaters are 
each, but they are on sale: when you buy one, you get one free. Rebecca buys one sweater and gets one free. At checkout, she then presents a coupon for an additional 
off. What is the average cost of one sweater in dollars (before tax)?
Sweaters are
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If Rebecca buys a 
sweater that is part of a buy one, get one free sale, that means that she will get two sweaters for a total of 
. A 
off discount will mean that Rebecca will save 
off of her total because 
of 
is 
.
Therefore, the total she will pay is equal to 
.
The average price of a sweater will therefore be 
.
If Rebecca buys a
Therefore, the total she will pay is equal to
The average price of a sweater will therefore be
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Sal is going to the fair with his family. He has $18.00 to buy tickets. How many tickets can he buy if each one costs $2.25?
Sal is going to the fair with his family. He has $18.00 to buy tickets. How many tickets can he buy if each one costs $2.25?
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Divide the total amount of money he has by the cost of one ticket: 
Answer: Sal can buy 8 tickets at the fair.
Divide the total amount of money he has by the cost of one ticket:
Answer: Sal can buy 8 tickets at the fair.
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Ninety-six people must form eight equal groups. How many people will be in each group?
Ninety-six people must form eight equal groups. How many people will be in each group?
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Divide: 
Answer: There will be 12 people in each group.
Divide:
Answer: There will be 12 people in each group.
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Three friends are in the desert and must share a 15 ounce bottle of water. How many ounces of water will each friend drink, assuming they split the bottle evenly?
Three friends are in the desert and must share a 15 ounce bottle of water. How many ounces of water will each friend drink, assuming they split the bottle evenly?
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Divide: 
Answer: Each friend will drink 5 ounces of water.
Divide:
Answer: Each friend will drink 5 ounces of water.
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Pamela takes her children to the fair. How many $3.00 tickets can she buy if she only has $21.00?
Pamela takes her children to the fair. How many $3.00 tickets can she buy if she only has $21.00?
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Divide:
Answer: Pamela can buy 7 tickets.
Divide:
Answer: Pamela can buy 7 tickets.
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An eight slice pizza pie must be shared evenly among four friends. How many slices will each person get?
An eight slice pizza pie must be shared evenly among four friends. How many slices will each person get?
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Divide:
Answer: Each person must get 2 slices.
Divide:
Answer: Each person must get 2 slices.
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of the students in a classroom of 
students are boys. 
of the girls in this classroom wear their hair in pigtails. How many girls wear their hair in pigtails?
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If 
of the students in a classroom of 
students are boys, that means that 
students are boys, since 
. (Alternatively, you could figure this out by realizing that since 
of 
is 
and 
, 
of 
must equal 
, which is 
.) If there are 
boys in the classroom, there must be 
girls, since 
.
Given that 
of the girls wear their hair in pigtails, and 
of 
is 
, it follows that there are 
girls in the classroom who wear their hair in pigtails.
If
Given that
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There are 
puppies in obedience training. If 
of the puppies are male, how many of them are female?
There are
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If 
are male, then 
of the puppies in obedience training are female. Because:
.
Now we can write the following proportion and solve.
If
Now we can write the following proportion and solve.
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A teacher has sixty stickers to give out to her 15 students. How many stickers will each student receive?
A teacher has sixty stickers to give out to her 15 students. How many stickers will each student receive?
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Divide:
Answer: 4 stickers.
Divide:
Answer: 4 stickers.
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In March, there were 10 sunny days, 10 cloudy days, and 11 rainy days. How many days did it rain in March?
In March, there were 10 sunny days, 10 cloudy days, and 11 rainy days. How many days did it rain in March?
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Identify the number of rainy days in March: 
days
Identify the number of rainy days in March:
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Solve inside the parentheses:
Then, solve:
Answer: 160
Solve inside the parentheses:
Then, solve:
Answer: 160
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If 25 percent of a number is 3, then what would two thirds of the same number be equal to?
If 25 percent of a number is 3, then what would two thirds of the same number be equal to?
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If 25 percent of a number is 3, then that means that 100 percent of the number will be equal to 3 times 4, which is 12. Two thirds of the number 12 is 8; therefore, 8 is the correct answer.
If 25 percent of a number is 3, then that means that 100 percent of the number will be equal to 3 times 4, which is 12. Two thirds of the number 12 is 8; therefore, 8 is the correct answer.
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The sum of the factors of 12 is
The sum of the factors of 12 is
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The factors of 12 are 1, 12, 3, 4, 2, and 6. The sum of them is when you add all of them together. 
.
The factors of 12 are 1, 12, 3, 4, 2, and 6. The sum of them is when you add all of them together.
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There are 
children in a class. If 
of the children are male, how many of them are female?
There are
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If 
are male, then 
of the children in the class are female 
.
If this is true, then 
times the total number of students in the class will give you the number of females.
If
If this is true, then
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The ratio of women to men in a meeting with 56 people is 5 to 3. How many more women then men are there?
The ratio of women to men in a meeting with 56 people is 5 to 3. How many more women then men are there?
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The best way to think about this problem is to divide the total number of people into parts. Since there are 5 parts women to 3 parts men, it's best to divide the total into 8 parts. Dividing 56 into 8 parts gives you 7. 7 is your multiplier. Now take your multiplier (7) and multiply it by your ratios.
This give you 
and 
or 
and 
. These are the number of women and men, respectively.
The difference between 35 and 21 is 14.
The best way to think about this problem is to divide the total number of people into parts. Since there are 5 parts women to 3 parts men, it's best to divide the total into 8 parts. Dividing 56 into 8 parts gives you 7. 7 is your multiplier. Now take your multiplier (7) and multiply it by your ratios.
This give you
The difference between 35 and 21 is 14.
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It took Julia 15 minutes to walk 1 mile. If she walks for 2 more miles at the same speed, what part of an hour will her entire 3-mile walk take?
It took Julia 15 minutes to walk 1 mile. If she walks for 2 more miles at the same speed, what part of an hour will her entire 3-mile walk take?
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It will take her 30 more minutes to finish her walk for a total of 45 minutes. 45 minutes of 60 minutes in an hour is the same as 
.
It will take her 30 more minutes to finish her walk for a total of 45 minutes. 45 minutes of 60 minutes in an hour is the same as
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Alice received $2.40 for her weekly allowance. If her favorite snacks cost 60¢ each, how many snacks can Alice buy this week?
Alice received $2.40 for her weekly allowance. If her favorite snacks cost 60¢ each, how many snacks can Alice buy this week?
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To solve:
Divide the total amount of Alice's allowance ($2.40) by the price for each snack ($ .60)
Alice would be able to buy 4 snacks.
To solve:
Divide the total amount of Alice's allowance ($2.40) by the price for each snack ($ .60)
Alice would be able to buy 4 snacks.
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Steve ate 20% of his pie on Monday. On Tuesday Steve ate 50% of the left-over pie. What percent of the pie is left?
Steve ate 20% of his pie on Monday. On Tuesday Steve ate 50% of the left-over pie. What percent of the pie is left?
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On Tuesday, Steve ate 50% (half) of the 80%, which is 40%. Steve has eaten 20% on Monday and 40% on Tuesday, so there is 40% left over.
On Tuesday, Steve ate 50% (half) of the 80%, which is 40%. Steve has eaten 20% on Monday and 40% on Tuesday, so there is 40% left over.
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In order to travel from New York to Florida with his family, Eric needs to purchase 3 tickets, costing $52.00, $64.79 and $44.50. If he has $213.00 in his wallet, how much money will Eric have left over after buying the tickets?
In order to travel from New York to Florida with his family, Eric needs to purchase 3 tickets, costing $52.00, $64.79 and $44.50. If he has $213.00 in his wallet, how much money will Eric have left over after buying the tickets?
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First add up the prices of the three tickets:
Then subtract that amount from $213:
Therefore Eric will have $51.71 left over.
First add up the prices of the three tickets:
Then subtract that amount from $213:
Therefore Eric will have $51.71 left over.
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