Question

6. For school uniforms, five shirts and three pairs of pants cost $113. 25. If a shirtcosts $3.75 less than a pair of pants, how much is a shirt and how much is a pairof pants?

Answer 1

Let x be the cost of 1 pair of pants, and y be the cost of one shirt, then since five shirts and three pairs of pants cost $113. 25 we can set the following equation:

$5y+3x=113.25,$

also, a shirt costs $3.75 less than a pair of pants, then:

$y=x-3.75.$

Substituting the second equation in the first one we get:

$5(x-3.75)+3x=113.25.$

Solving for x we get:

$\begin{gathered} 5x-18.75+3x=113.25, \\ 8x=113.25+18.75, \\ x=\frac{33}{2}=16.5. \end{gathered}$

Now, substituting x=16.5 in the second equation we get:

$y=16.5-3.75=12.75.$

Answer:

A shirt costs $12.75, and a pair of pants cost $16.5.