If two adults and three children go to the movies, it costs $31.50. If one adult and five children go to the movies, it costs $35.00. What is the cost of one adult movie ticket?

Using a = cost of adult ticket and c = cost of child ticket, write a system of equations that could be used to solve the given problem.

Question

laReagalvagerto laReagalvagerto

25-11-2016
Mathematics

Answered

If two adults and three children go to the movies, it costs $31.50. If one adult and five children go to the movies, it costs $35.00. What is the cost of one adult movie ticket?

Using a = cost of adult ticket and c = cost of child ticket, write a system of equations that could be used to solve the given problem.

Verified Answer :

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Anonymous Anonymous · Answer 1 · 2016-11-27T00:53:08-05:00

A = adult ticket price
C = child ticket price

2A + 3C = 31.50
1A + 5C = 35.00

multiply second equation by 2 and subtract the first equation
2A + 10C = 70.00
2A + 3C = 31.50
----------------------
7C = 38.5
C = 5.5

Plug in C to find A:
1A + 5 * 5.5 = 35.00
A + 27.5 = 35.00
A = 35.00 - 27.5
A = 7.5

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yamadoo74 yamadoo74 · Answer 2 · 2020-02-03T08:57:05-05:00

yamadoo74 yamadoo74

03-02-2020

Answer:The correct answer would be $7.50

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