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

Respuesta :

A. 16 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:

[tex]125x+75y=7000[/tex]           ......(1)

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

now put  [tex]y=3x[/tex] this in equation (1) we get,

[tex]125x+75(3x)=7000[/tex]

[tex]125x+225x=7000[/tex]

[tex]350x=7000[/tex]

on solving we get,

∴ x=$20

and [tex]y=3x=3\cdot 20[/tex]=$60

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