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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?

A16 Top Flight; 48 Bargain

B20 Top Flight; 60 Bargain

C48 Top Flight; 16 Bargain

D60 Top Flight; 20 Bargain

Verified Answer :

A16 Top Flight; 48 Bargain

Answer:

Option B is correct.

20 Top flight; 60 Bargain

Step-by-step 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:

@@MATH_TOKEN_0@@           ......(1)

It is also given in the question that: 3 times as many Bargain uniforms as Top Flight uniforms i.e, @@MATH_TOKEN_1@@

now put  @@MATH_TOKEN_2@@ this in equation (1) we get,

@@MATH_TOKEN_3@@

@@MATH_TOKEN_4@@

@@MATH_TOKEN_5@@

on solving we get,

∴ x=$20

and \(y=3x=3\cdot 20\)=$60

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