Basic Arithmetic : Solving Linear Equations with Part, Percent, and Whole

Study concepts, example questions & explanations for Basic Arithmetic

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Example Questions

Example Question #4 : Finding Part, Percent, And Whole

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

Possible Answers:

Correct answer:

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

Example Question #5 : Finding Part, Percent, And Whole

If  of  is , what is the value of 

Possible Answers:

Correct answer:

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.

Example Question #6 : Finding Part, Percent, And Whole

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?

Possible Answers:

Correct answer:

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.

Example Question #4 : Solving Linear Equations With Part, Percent, And Whole

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

Possible Answers:

Correct answer:

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 

Example Question #1 : Solving Linear Equations With Part, Percent, And Whole

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

Possible Answers:

Correct answer:

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.

Example Question #2 : Solving Linear Equations With Part, Percent, And Whole

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

Possible Answers:

Correct answer:

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 .

Example Question #23 : Percents And Decimals

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

Possible Answers:

Correct answer:

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 .

 

Example Question #13 : Finding Part, Percent, And Whole

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

Possible Answers:

Correct answer:

Explanation:

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

Then, translate the above question into an equation:

Dividing by :

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