Respuesta :
Let be "b" the number of bootcut jeans sold and "s" the number of straight leg jeans sold.
Using the information given in the exercise, you can set up the following System of Equations:
[tex]\begin{cases}58b+42s=3,634 \\ b=2s\end{cases}[/tex]To solve it, you can apply the Substitution Method:
1. Substitute the second equation into the first one:
[tex]58(2s)+42s=3,634[/tex]2. Solve for "s":
[tex]\begin{gathered} 116s+42s=3,634 \\ 158s=3,634 \\ \\ s=\frac{3,634}{158} \\ \\ s=23 \end{gathered}[/tex]3. Substitute the value of "s" into the second equation.
4. Evaluate.
Then:
[tex]\begin{gathered} b=2s \\ b=(2)(23) \\ b=46 \end{gathered}[/tex]Therefore, the answer is: 46 bootcut jeans and 23 straight-leg jeans.
