Question

Cal is trying to raise his average weekly income to be at least $131. His first

two weekly paychecks were $128 and $135. What is the lowest amount on his next
paycheck that Cal must earn so that he can reach his goal?
a) $132
b) $131
c) $135
d) $130

Answer 1

d) $130

Explanation:

Average means you add up the numbers and divide by the number of numbers.

We want our average to be 131.

We have 128,135, and the next pay check amount.

So let's average the three numbers together.

`(128+135+x)/(3)`

`x` represent the amount on the next pay check.

We want this average to equal 131 so we have this equation to solve:

`(128+135+x)/(3)=131`

First step: Add 128 and 135:

`(263+x)/(3)=131`

Second step: Multiply both sides by 3:

`263+x=3(131)`

Third step: Multiply 3 and 131:

`263+x=393`

Fourth step: Subtract 263 on both sides:

`x=393-263`

Fifth step: Subtract 393 and 263:

`x=130`

d. 130

Answer 2

D). $130

Explanation:

In this question, we're trying to figure out what would be the lowest amount of money he earned on his next paycheck in order for his income to be an average of $131.

To do this, we would need to use some important information in the question.

Important information:

• $128 paycheck
• $135 paycheck

With the information above, we can use that to get the answer to the question.

We know that he made $128 and $135 on his recent paychecks, but we need to find on how much he needs to make on his next paycheck in order to reach his goal average.

We would be solving for x:

128, 135, x

131, 131, 131

We would add the numbers:

128, 135, x = 263 + x

131, 131, 131 = 393

We will now solve.

`393 = 263+x\\\\\text{Subtract 263 on both sides}\\\\130=x`

When you're don solving, you should get 130. This means that Cal needs to make $130 on his next paycheck in order to have an average of $131.

Checking to see if it's right:

We can check to see if it's right by adding up all of the numbers and divide by how many there are (3).

`128+130+135=393\\\\393/3=131`

Now, we can confirm that D). $130 would be the correct answer.

I hope this helps you out.

Good luck on your academics.

Have a fantastic day!