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.
<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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