Answer :
Answer:
Number of Activity books = 8
Number of Storybooks = 5
Explanation:
Let x represent the number of activity books.
Let y represent the number of storybooks.
Let's go ahead and set up our equations as follows;
[tex]\begin{gathered} x+y=13\ldots\ldots\text{.}\mathrm{}\text{Equation 1} \\ 5x+11y=95\ldots\ldots\ldots\ldots\text{.Equation 2} \end{gathered}[/tex]From equation 1, we can see that x = 13 - y
Let's go ahead and substitute the value of x into equation 2 and solve for y;
[tex]\begin{gathered} 5(13-y)+11y=95 \\ 65-5y+11y=95 \\ 6y=30 \\ y=\frac{30}{6} \\ y=5 \end{gathered}[/tex]Since y = 5, let's substitute the value of y into equation 1 and solve for x;
[tex]\begin{gathered} x+5=13 \\ x=13-5 \\ x=8 \end{gathered}[/tex]