Question

For a recent job, a plumber earned $28/hr, and the plumber’s apprentice earned $15/hr. The plumber worked 3 hours more than the apprentice. If together they were $213, how much did he esrn

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

Answer: (with explanation) (ANSWER AT THE BOTTOM)

et P = number of hours that the plumber worked.

let H = number of hours that the helper worked.

since the plumber worked 3 more hours than the helper, the equation for hours worked is

P = H + 3

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since the plumber earned 28 dollars per hour and the helper earned 15 dollars per hour, the equation for amount of money each made is the number of hours each worked times the dollars per hour each earned.

this equation is

(28*P) + (15*H) = 213 dollars

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both get the same answer.

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substitute for P in the money equation since P is the same as H + 3.

equation becomes

(28*(H+3)) + (15*H) = 213

solve for H.

28*H + 28*3 + 15*H = 213

43*H + 84 = 213

43*H = 129

H = 3

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if H = 3, then P = 6 because P = H + 3.

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6*28 + 3*15 = 213 so your answer is

Plumber works 6 hours

Helper works 3 hours.

now to find the amount each earn by themselves, we just have to multiply by 6 or 3 by their hourly earning.

let's do the Plumber first

28x6=168

now the helper

15x3=45

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now to check if that was the right answer, let's add them up...

168+45=213

so, our answer is right.

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The plumber worked for 6 hours and earned $168 and the helper worked for 3 hours and earned $45 dollars. In total, they earned $213.