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QuestionBrett and Kenny earn different hourly rates. Use the equation 75+10h=12.5h75 + 10h = 12.5h to find hours hh they need to work to earn the same. How many hours? Simplify.

Studdy Solution

STEP 1

Assumptions1. Kenny earns 10perhourandreceiveda10 per hour and received a 75 bonus at the beginning of the month. . Brett earns 12.50perhour.<br/>3.Wearelookingforthenumberofhours,12.50 per hour.<br />3. We are looking for the number of hours, h$, that both Brett and Kenny need to work to earn the same amount of money this month.

STEP 2

We need to set up an equation that represents the total earnings for both Brett and Kenny. The total earnings for Kenny is the sum of his hourly wage times the number of hours worked and his bonus. The total earnings for Brett is his hourly wage times the number of hours worked.
75+10h=12.5h75 +10h =12.5h

STEP 3

To find the number of hours they need to work to earn the same amount, we need to solve this equation for hh.

STEP 4

First, we can subtract 10h10h from both sides of the equation to isolate hh on one side.
75=12.h−10h75 =12.h -10h

STEP 5

implify the right side of the equation.
75=2.5h75 =2.5h

STEP 6

Finally, we can solve for hh by dividing both sides of the equation by 2.52.5.
h=752.5h = \frac{75}{2.5}

STEP 7

Calculate the value of hh.
h=752.5=30h = \frac{75}{2.5} =30Brett and Kenny need to work30 hours to earn the same amount of money this month.

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