Answer:
<u>The Springfield Movie Theater last Thursday sold 65 adult tickets and 24 children's tickets.</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the problem correctly:
Price of adult ticket = US$ 4.10
Price of children ticket = US$ 2.70
Last Thursday total collection = US$ 331.30
Total movie watchers = 89
Number of adults = x
Number of children = y
2. How many of each type of ticket were sold on Thursday?
Let's build our equations system to answer the question, this way:
x + y = 89
4.10x + 2.70y = 331.30
Solving for x on the 1st equation:
x + y = 89
x = 89 - y
Replacing x on the 2nd equation and solving for y:
4.10x + 2.70y = 331.30
4.10 (89 - y) + 2.70y = 331.30
364.90 - 4.10y + 2.70y = 331.30
-1.40y = 331.30 - 364.90
-1.40y = - 33.60
y = -33.60/-1.40
y = 24
Solving for x:
x + y = 89
x + 24 = 89
x = 89 - 24
x = 65
Proof of x = 65 and y = 24
4.10x + 2.70y = 331.30
4.10 * 65 + 2.70 * 24 = 331.30
266.50 + 64.80 = 331.30
331.30 = 331.30
We proved that x = 65 and y = 24 are correct
