Question

Sam bought shoes (x) for $75.99 and socks (y) for $5.99. He spent $169.95 before tax. Write the equation that models his purchase.

Answer 1

Price per unit:

Shoes: $75.99

Socks: $5.99

If he bought x shoes and y socks, the total price for each item is:

$\begin{gathered} \text{Shoes}\colon75.99x \\ \text{Socks}\colon5.99y \end{gathered}$

We know that he spent $169.95 before tax, corresponding to the sum of the total price for each item. Then, the equation that models his purchase is:

$75.99x+5.99y=169.95$