SOLUTION: A group of 5 adults and 3 children paid a total of $108 for their concert tickets. Another group of 3 adults and 10 children paid $155. Find the cost of an adult ticket and the cos
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Question 852909: A group of 5 adults and 3 children paid a total of $108 for their concert tickets. Another group of 3 adults and 10 children paid $155. Find the cost of an adult ticket and the cost of a child's ticket.
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
x = child ticket price
y = adult ticket price
3x+5y=108 the cost accounting for the first group.
10x+3y=155 the cost accounting for the second group.
Your choice how to continue. Either substitution or elimination. If choosing elimination, first EITHER eliminate x OR eliminate y.
.
9x+15y=324 & 50x+15y=775.
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50x-9x=775-324
41x=451
x=11 and this means y=....
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5y=108-3x
5y=108-33=75
y=75/5
y=15
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SUMMARY: x=11, y=15.
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