Solving Linear Equations with Part, Percent, and Whole

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Basic Math › Solving Linear Equations with Part, Percent, and Whole

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1

If of an unknown number is , what is the unknown number?

CORRECT

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Explanation

First, we need to convert into a decimal.

Then, we can write the following equation using the information given in the question:

,

where is our unknown number.

Now, solve for

2

When an unknown number is increased by , it becomes the number . What is the unknown number?

CORRECT

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Explanation

First, convert the percent into a decimal.

Now, increasing an unknown number by can be written by the following expression:

Next, set that equal to 88, since that is what the question tells us to do.

Now solve.

3

of an unknown number is . What is the unknown number?

CORRECT

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Explanation

Before we can write an equation, we need to turn the percent into a decimal.

Now, we can write the following equation:

Divide both sides by .

4

Jimmy is a salesman who is paid a base salary of per month. He also receives a commission on all his sales. If Jimmy sold worth of goods one month, how much was he paid for that month?

CORRECT

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Explanation

We can write the following equation to represet Jimmy's salary:

Because we know Jimmy sold \$1920 this month, we can plug it into the above equation.

Now, convert the percent into a decimal to find how much Jimmy made this month.

5

If of a number is , what is the value of ?

CORRECT

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Explanation

First, let's convert the percentage into its equivalent decimal .

Then, translate the above question into an equation:

Dividing by :

6

If of an unknown number is , what is the unknown number?

CORRECT

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Explanation

First, let stand for the unknown number.

Then, let's convert the percentage into an equivalent decimal

Translating the question above into an equation, we have:

Dividing both sides by , we see that .

7

If of an unknown number is , what is the unknown number?

CORRECT

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Explanation

First, we will need to convert to a decimal.

Now, the word "of" means we will need to multiply 0.05 by our unknown number, . Set that equation to 18, since that is what the problem tells us.

Now, divide both sides by 0.05

8

If of is , what is the value of

CORRECT

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Explanation

To be able to write the question as an equation, we need to first convert into a decimal.

Now, we can write the following equation and solve.