College Algebra

Question

A Pizzeria sells pizza according to size: small pizzas cost $10, medium pizzas cost $15, and large pizzas cost $40. They usually sell as many small pizzas as medium and large pizzas combined. The number of medium pizzas sold is usually twice as many as large ones. How many of each size pizza must they sell to get $600?

Answer 1

M=medium sized pizza S=small, L=large

S=18, M=12, L=6

M=2L

S=M+L

10S+15M+40L = 600

10(2L+L) + 15(2L) +40L = 600

30L +30L + 40L = 600

100L =600

L= 6

M=2L = 2(6) = 12

S = M+L = 12+6 = 18

18 small, 12 medium, 6 large

18x10 + 12x15 + 6x40 = 600

180 + 180 + 240 =600