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

Answer:

$0.21

Step-by-step 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.

$x=\frac{220}{38}$

$x=5.7894736842105263$

Therefore, before raise Mike earned $5.7894 per hour.

$y=\frac{180}{30}$

$y=6$

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.