SOLUTION: If 126 people attend a concert and tickets for adults cost $3 while tickets for children cost $2.25 and total receipts for the concert was $343.5, how many of each went to the conc

Question 1034089: If 126 people attend a concert and tickets for adults cost $3 while tickets for children cost $2.25 and total receipts for the concert was $343.5, how many of each went to the concert?

Found 2 solutions by josmiceli, macston:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of adult tickets sold
= number of children's tickets sold
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and

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80 adults and 46 children went to the concert
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check:

OK
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
A=adults; C=children
.
A+C=126
A=126-C . Use this to substitute for A below
.
3A+2.25C=343.5 . Substitute for A (from above)
.
3(126-C)+2.25C=343.5
378-3C+2.25C=343.5
-0.75C=-34.5
C=46
.
46 Children attended
.
A=126-C=126-46=80
.
80 Adults attended
.
CHECK:
.
3A+2.25C=343.5
3(80)+46(2.25)=343.5
240+103.5=343.5
343.5=343.5

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