Question

You are an athletic director and have a budget of $7,000 for uniforms. You can buy Top Flight uniforms for $125 each, and Bargain uniforms for 75$ each. If you want to have 3 times as many Bargain uniforms as Top Flight uniforms, how many of each type should you buy?

A. 16 Top Flight; 48 Bargain

B. 20 Top Flight; 60 Bargain

C. 48 Top Flight; 16 Bargain

D. 60 Top Flight; 20 Bargain

Answer 1

The answer is B. 20 Top Flight; 60 Bargain

t - the number of top flight uniforms
b - the number of bargain uniforms

You want to have 3 times as many Bargain uniforms as Top Flight uniforms:
b = 3t

You can buy Top Flight uniforms for $125 each, and Bargain uniforms for 75$ each and have a budget of $7,000 for uniforms:
125t + 75b = 7000

b = 3t
125t + 75b = 7000
____
125t + 75 * 3t = 7000
125t + 225t = 7000
350t = 7000
t = 7000 : 350
t = 20 top flght

b = 3t = 3 * 20 = 60 bargain