Question

Kim bought four shirts and three pair of jeans for $109.85. Jim bought six shirts and one pair of jeans for $94.95. Each shirt costs the same amount, and each pair of jeans cost the same amount. What is the cost, in dollars, for one pair of jeans?

Answer 1

Jeans-$19.95

Explanation:

The expression for each individual's purchase can be expressed as:

`Jim=> 6s+j=94.95\ \ \ \ \ ...i\\\\Kim=>4s+3j=109.85\ \ \ \ \ ...ii`

We make j the subject in equation i then substitute in ii:

`j=94.95-6s\\\\\#substitute \ in \ two\\\\4s+3j=109.85\\\\4s+3(94.95-6s)=109.85\\\\4s-18s+284.85=109.85\\\\14s=175\\\\s=12.5\\\\j=94.95-6* 12.5=19.95`

Hence, it costs $19.95 per pair of jeans and $12.50 per shirt pair.