SOLUTION: Tickets for a school play sold for $7.50 for each adult and $3.00 for each child. The total receipts for 115 tickets totaled $678. Find the number of adult tickets sold.

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Tickets for a school play sold for $7.50 for each adult and $3.00 for each child. The total receipts for 115 tickets totaled $678. Find the number of adult tickets sold.       Log On


   

Question 897177: Tickets for a school play sold for $7.50 for each adult and $3.00 for each child. The total receipts for 115 tickets totaled $678. Find the number of adult tickets sold.

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a+c=115,
7.5*a+3*c=678
a=115-c
7.5*(115-c)+3*c=678
862.5-7.5c+3*c=678
-4.5*c=-184.5
c=41.0
a=115-c
a=74 at 7.5 and c=41 at 3
check
74+41=115
7.5*a+3*c=678
7.5*74+3*41=678
555.0+123=678
678.0=678
ok