the cost of 3 movies and 7 boxes of candy is $16.50. The cost of 5 movies and 2 boxes is $13.00. How much is one box of candy

Answer 1

Let's setup a system of equations to solve for the cost of one box of candy.

Let x be the cost of one movie and y be the cost of one box of candy.

From the given information:
3x + 7y = 16.50 (equation 1)
5x + 2y = 13.00 (equation 2)

Now we can solve the system of equations. We can start by solving equation 2 for x:

5x + 2y = 13.00
5x = 13.00 - 2y
x = (13.00 - 2y) / 5
x = 2.6 - 0.4y

Now we substitute x = 2.6 - 0.4y into equation 1:

3(2.6 - 0.4y) + 7y = 16.50
7.8 - 1.2y + 7y = 16.50
5.8 + 5.8y = 16.50
5.8y = 10.70
y = 10.70 / 5.8
y ≈ 1.84

Therefore, the cost of one box of candy is approximately $1.84.