Question

"A store sells books for $3 and movies for $2. Greg spent $88 on

these items. He bought three-times as many books as movies. How
many books did Greg buy?

Answer 1

To solve the problem, let's assign variables to the unknown quantities. We set up two equations based on the given information: x = 3y and 3x + 2y = 88. Solving these equations, we find that Greg bought 8 movies and 24 books.

Step-by-step explanation:

To solve this problem, let's assign variables to the unknown quantities. Let's say Greg bought x books and y movies. We are given that the books cost $3 each and the movies cost $2 each. We are also given that Greg spent a total of $88 and bought three times as many books as movies.

From this information, we can set up two equations:

1. x = 3y (since Greg bought three times as many books as movies)
2. 3x + 2y = 88 (since Greg spent a total of $88)

Substituting the value of x from the first equation into the second equation, we get:

1. 3(3y) + 2y = 88
2. 9y + 2y = 88
3. 11y = 88
4. y = 8

So, Greg bought 8 movies. Substituting this value into the first equation, we find that Greg bought 3*8 = 24 books.