Question

spent $95 buying 13 books to donate to the local elementary school. Activity books cost $5 each and story books cost $11 each, how many of each type of book did purchase?

Answer 1

Number of Activity books = 8

Number of Storybooks = 5

Step-by-step 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;

`\begin{gathered} x+y=13\ldots\ldots\text{.}\mathrm{}\text{Equation 1} \\ 5x+11y=95\ldots\ldots\ldots\ldots\text{.Equation 2} \end{gathered}`

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;

`\begin{gathered} 5(13-y)+11y=95 \\ 65-5y+11y=95 \\ 6y=30 \\ y=(30)/(6) \\ y=5 \end{gathered}`

Since y = 5, let's substitute the value of y into equation 1 and solve for x;

`\begin{gathered} x+5=13 \\ x=13-5 \\ x=8 \end{gathered}`