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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)?

Respuesta :

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: [tex]38x=220[/tex]

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: [tex]30y=180[/tex].

Let us solve for x and y.

[tex]x=\frac{220}{38}[/tex]

[tex]x=5.7894736842105263[/tex]

Therefore, before raise Mike earned $5.7894 per hour.

[tex]y=\frac{180}{30}[/tex]

[tex]y=6[/tex]

Therefore, after raise Mike earned $6 per hour.

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

[tex]\text{Amount of raise}=6-5.7894[/tex]

[tex]\text{Amount of raise}=0.2106\approx 0.21[/tex]

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

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