Question

Jan noticed at the store that a sweater costs $3.95 more than a shirt. She bought 3 shirts and 2 sweaters and the total cost (before tax) was $71.65. What's the price of a sweater? What is the price of a shirt?

Answer 1

`s-the\ price\ of\ a\ sweater\\t-the\ price\ of\ a\ shirt\\\\ \left\{\begin{array}{ccc}s=t+3.95\\2s+3t=71.65\end{array}\right\\\\subtitute:\\\\2(t+3.95)+3t=71.65\\2t+7.90+3t=71.65\\5t+7.90=71.65\ \ \ \ \ |subtract\ 7.90\ from\ both\ sides\\5t=63.75\ \ \ \ \ \ |divide\ both\ sides\ by\ 5\\t=12.75\\\\s=12.75+3.95=16.70\\\\Answer:\\The\ price\ of\ a\ sweater:\$16.70.\\The\ price\ of\ a\ shirt:\$12.75`