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

A. 16 Top Flight; 48 Bargain

Answer 2

Option B is correct.

20 Top flight; 60 Bargain

Explanation:

Let top flight uniform be x and bargain uniform be y.

Given condition:

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.

then, the total budget for buying a Top Flight uniform and bargain uniform are $125x and $75y.

we have an equation:

`125x+75y=7000` ......(1)

It is also given in the question that: 3 times as many Bargain uniforms as Top Flight uniforms i.e,
`y=3x`

now put
`y=3x` this in equation (1) we get,

`125x+75(3x)=7000`

`125x+225x=7000`

`350x=7000`

on solving we get,

∴ x=$20

and
`y=3x=3\cdot 20`=$60

Therefore, top flight uniform be 20 and bargain uniform be 60.