Question

Liam must work at least 5 hours per week in her family's restaurant for$8.00 per hour. She also does yard work for $12 per hour. Lias parents allow her to work a maximum of 15 hours per week overall. Elias goal is to earn at least $120 per week.

Answer 1

Explanation:

hours work restaurant - "r"

hours work yard - "y"

r + y
`\leq` 15

r
`\geq` 5

8r + 12y = 120 : (4) -----> 2r + 3y = 30

r =
`(30 - 3y)/(2)`

`(30 - 3y)/(2)`
`\geq` 5

30 - 3y ≥ 10

3y
`\leq` 20

y ≤ 20/3