Question 708630
A local movie theater charges $12 for an adult ticket and $10 for a child’s ticket. A group of eight people spent a total of $86 on tickets to a movie. How many adults and how many children were in the group? 
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Quantity Equation: a + c = 8 persons
Value Equation:: 12a+10c = 86
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Modify:
a + c = 8
6a + 5c = 43
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Modify for elimination:
6a + 6c = 6*8
6a + 5c = 43
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Subtract to solve for "c":
c = 5 (# of child tickets)
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Solve for "a":
a + c = 8
a + 5 = 8
a = 3 (# of adult tickets)
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Cheers,
Stan H.