We appreciate your visit to A movie theater charges 14 for adults and 10 for seniors On a particular day when 339 people paid for admission the total receipts were. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
271 who paid were seniors while 68 who paid were adult.
Let
x = number of senior
y = number of adult
On a particular day 339 people paid an admission. Therefore,
Total paid:
- x + y = 339
The total receipts were $3662. Therefore,
Total receipt:
- 10x + 14y = 3662
Let's combine the equation.
x + y = 339
10x + 14y = 3662
Multiply equation(i) by 10
10x + 10y = 3390
10x + 14y = 3662
4y = 272
y = 272 / 4
y = 68
x = 339 - 68
x = 271
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Answer:
The answer to your question is adults = 68 seniors 271
Step-by-step explanation:
Data
Adults = a = $14
Seniors = s = $10
total people = 339
total earnings = $3662
number of adults = ?
number of seniors = ?
Process
1.- Write two equations to solve this problem
a + s = 339
14 a + 10s = 3662
2.- Solve by substitution
a = 339 - s
14(339 - s) + 10s = 3662
4746 - 14s + 10 s = 3662
Solve for s
-14s + 10 s = -4746 + 3662
-4s = - 1084
s = 1084/4
s = 271
3.- Find a
a + 271 = 339
a = 339 - 271
a = 68
