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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.

Respuesta :

 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

Answer:The correct answer would be $7.50

Step-by-step explanation:

Had this question and got it right