Question

At most, Alana can spend $40 on carnival tickets. Ride tickets cost $4 each, and food tickets cost $2 each. Alana buys at least 16 tickets. The system of inequalities represents the number of ride tickets, r, and the number of food tickets, f, she buys.

r + f ≥ 16
4r + 2f ≤ 40What is the maximum number of ride tickets she can buy?

Answer 1

The maximum number of ride tickets is 4

Explanation:

r = number of ride tickets

f = number of food tickets

r + f ≥ 16

4r + 2f ≤ 40

Using these as equations

f = 16 -r

Using this in the second equation

4r+ 2 (16 -r) = 40

4r +32 -2r = 40

2r +32 = 40

2r = 8

r = 4

The maximum number of ride tickets is 4