Solving Linear Equations with Part, Percent, and Whole

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

Questions 1 - 8
1

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

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?

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?

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?

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 ?

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?

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?

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

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.

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