5. on one day, four cooks and four waiters earned $360. on another day, working the same number of
hours and at the same rate of pay, five cooks and six waiters earned $480. how much does a cook and
how much does a waiter earn each day?

Step-by-step explanation:

c = cooks, w = waiter

4c + 4w = 360multiply by -5

5c + 6w = 480...multiply by 4

-20c - 20w = - 1800 (result of multiplying by -5)

20c + 24w = 1920 (result of multiplying by 4)

4w = 120

w = 120 / 4

w = 30 <=== waiters make $ 30

4c + 4w = 360

4c + 4(30) = 360

4c + 120 = 360

4c = 360 -120

4c = 240

c = 240/4

c = 60 <=== cooks make $ 60