He makes $8 per hour working for pizza place and $10 per hour tutoring. His goal is to make $160 per week. Write an expression to represent

Question

x represents number of hours works at pizza place

y represents hours tutoring

Answer 1

8X +  10y = 160

 

dividing everything by 2:

 

4x + 5y = 80

 

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If the total hours are small enough, like 20, we can figure out how may of each he needs to work.  

For example, he can work 20 hours at the pizza shop without having to tutor.

He can also tutor for 16 hours and not have to work at the pizza shop.

He can tutor for 4 hours and work 15 at the pizza shop.

In fact, 4 hours tutoring = 5 hours at the pizza shop = $40

 

Here's a table summarizing the results:

 

Pizza Shop Tutoring
0                 16                  160
5                 12                  160

7.5              10                  160
10                8                   160
15               4                    160
20               0                    160

 

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