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olchik [2.2K]
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]3 years ago
3 0
 <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

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!</span>
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

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