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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?

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opudodennis

Answer:

Jeans-$19.95

Step-by-step explanation:

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

[tex]Jim=> 6s+j=94.95\ \ \ \ \ ...i\\\\Kim=>4s+3j=109.85\ \ \ \ \ ...ii[/tex]

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

[tex]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\times 12.5=19.95[/tex]

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

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