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# math [county fair tickets]

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At a county fair, an adult ticket sold for \$6.00, a senior citizen’s ticket for \$4.50, and a child’s ticket for \$2.00. On Friday, the number of adults and senior citizen’s tickets sold was 5 more than the number of children’s tickets sold. The number of adult tickets sold was 5 more than three times the number of senior citizen’s tickets sold. Total receipts from the ticket sales were \$335.00. How many children’s tickets were sold?
Guest Feb 14, 2012
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fay:

At a county fair, an adult ticket sold for \$6.00, a senior citizen’s ticket for \$4.50, and a child’s ticket for \$2.00. On Friday, the number of adults and senior citizen’s tickets sold was 5 more than the number of children’s tickets sold. The number of adult tickets sold was 5 more than three times the number of senior citizen’s tickets sold. Total receipts from the ticket sales were \$335.00. How many children’s tickets were sold?

s: senior citizen’s ticket
c: child’s ticket

given:
a=6
s=4.5
c=2

equations:
(a+s)=c+5
a=5+3*s
a+s+c=335
[input]solve( (a+s)=c+5, a=5+3*s, a+s+c=335 )[/input]
= {a=128.75, s=41.25, c=165}

fay:

How many children’s tickets were sold?

165?