Question

Kini and Duke are each working during the summer to earn money in addition to their weekly allowance, and they are saving all of their money. Kini earns $9 an hour at her job, and her allowance is $8 per week. Duke earns $7.50 an hour, and his allowance is $17 per week. How many hours do Kini and Duke need to work in order to save the same amount of money in one week?

Answer 1

Answer:

6hrs

Step-by-step explanation:

First, we have to put the information given to us about the money they earn into an expression

let x represent the number of hours Kini and Duke work and y represent the total amount of money they earn in a week.

y(kini) = 9x + 8

y(duke) = 7.5x + 17

Now we subtract the x values and the constant values

9x - 7.5x = 1.5x

17 - 8 = 9

Make these into an equation

1.5x = 9

Divide both sides by 1.5 so x(the number of hours the both work) can stand alone.

$\frac{1.5x}{1.5}= \frac{9}{1.5}$

x = 6 hrs