Question

Mike works in a toy store. One week, he worked 38 hours and made $220. The next week, he received a raise, so when he worked 30 hours he made $180. How much was his raise (to the nearest cent)?

Answer 1

$0.21

Explanation:

Let x be the amount of money earned per hour before raise and y be amount of money earned per hour after raise.

We have been given that before raise he worked 38 hours and earned $220. We can represent this information as:
`38x=220`

We are also told that the next week, he received a raise. After raise he worked 30 hours and made $180. We can represent this information as:
`30y=180`.

Let us solve for x and y.

`x=(220)/(38)`

`x=5.7894736842105263`

Therefore, before raise Mike earned $5.7894 per hour.

`y=(180)/(30)`

`y=6`

Therefore, after raise Mike earned $6 per hour.

Now let us subtract 5.7894 from 6 to find Mike's raise.

`\text{Amount of raise}=6-5.7894`

`\text{Amount of raise}=0.2106\approx 0.21`

Therefore, amount of Mike's raise to the nearest cent is $0.21.