Question

IMAX Movie Prices. There were 322 people at a recent showing of the IMAX 3D movie "300". Admission was $8.75 each for adults and $6.00 each for children. Receipts totaled $2531.50. How many adults and how many children attended?

Answer 1

218 adults and 104 children attended.

Explanation:

From the information given, you can write the following equations:

x+y=322 (1)

8.75x+6y=2531.50 (2), where:

x is the number of adults

y is the number of children

First, you can solve for x in (1):

x=322-y (3)

Then, you can replace (3) in (2) and solve for y:

8.75(322-y)+6y=2531.50

2817.5-8.75y+6y=2531.50

2817.5-2531.50=8.75y-6y

286=2.75y

y=286/2.75

y=104

Finally, you can replace the value of y in (3) to find x:

x=322-104

x=218

According to this, the answer is that 218 adults and 104 children attended.