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 $3

Question

3 years ago

11

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 $3

5.00. 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.

Mathematics

2 answers:

stealth61 [152] · Answer 1 · 2022-04-14T07:20:00+03:00

<span>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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earnstyle [38] · Answer 2 · 2022-04-14T09:45:04+03:00

earnstyle [38]3 years ago

3 0

Answer:The correct answer would be $7.50

Step-by-step explanation:

Had this question and got it right