Question

The total cost of a jacket and shirt was $75.08 if the price of the jacket was $5.32 less than the shirt what was the price of the jacket

Answer 1

Let 'j' be the cost of the jacket and let 's' be the cost of the shirt. Then, if they cost $75.08, then we have the following expression:

`j+s=75.08`

since the price of the jacket was 5.32 less than the shirt, then, we have:

`j=s-5.32`

using this equation on the first equation, we get the following:

`\begin{gathered} s-5.32+s=75.08 \\ \Rightarrow2s=75.08+5.32=80.40 \\ \Rightarrow s=(80.40)/(2)=40.20\rbrack \\ s=40.20 \end{gathered}`

now that we have that the shirt costs $40.20, we can find the price of the jacket:]

`j=40.20-5.32=34.88`

therefore, the price of the jacket is $34.88 and the price of the shirt costs $40.20