SOLUTION: The admission prices for the Coca-Cola Museum in Atlanta are shown. A family purchased 2 more children's tickets than adult tickets, and 1 less senior ticket than adult tickets. Th

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Question 1067543: The admission prices for the Coca-Cola Museum in Atlanta are shown. A family purchased 2 more children's tickets than adult tickets, and 1 less senior ticket than adult tickets. The total cost of the tickets was $220. How many of each type of ticket did they purchase?
CHILD TICKETS $12
ADULT TICKETS $16
SENIOR TICKETS $14


adult tickets
senior tickets
child tickets

Answer by josgarithmetic(39617) About Me  (Show Source):
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c child
a adult
s senior

PUT THE DESCRIPTION INTO EQUATIONS
system%28c-a=2%2Cs=a-1%2C12c%2B16a%2B14s=220%29

Simplify and solve the system.

Cost equation simplifies into 6c%2B8a%2B7s=110 and first two equations can be rewritten in terms of "a" and substituted...

6%28a%2B2%29%2B8a%2B7%28a-1%29=110

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a=5, adults
c=7, children
s=4, seniors