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:
[tex]j+s=75.08[/tex]since the price of the jacket was 5.32 less than the shirt, then, we have:
[tex]j=s-5.32[/tex]using this equation on the first equation, we get the following:
[tex]\begin{gathered} s-5.32+s=75.08 \\ \Rightarrow2s=75.08+5.32=80.40 \\ \Rightarrow s=\frac{80.40}{2}=40.20\rbrack \\ s=40.20 \end{gathered}[/tex]now that we have that the shirt costs $40.20, we can find the price of the jacket:]
[tex]j=40.20-5.32=34.88[/tex]therefore, the price of the jacket is $34.88 and the price of the shirt costs $40.20
