SOLUTION: A carnival made exactly 200$ in one afternoon. Tickets for adults cost $20. Tickets for children cost $15. How many combinations of adult and children's tickets could have been sol

Question 708620: A carnival made exactly 200$ in one afternoon. Tickets for adults cost $20. Tickets for children cost $15. How many combinations of adult and children's tickets could have been sold? What are the combinations.
Please help & show how you got the answer, I have been stuck on this question for over an hour and its driving me crazy !!!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A carnival made exactly 200$ in one afternoon. Tickets for adults cost $20. Tickets for children cost $15. How many combinations of adult and children's tickets could have been sold? What are the combinations.
------
Value Equation:
20a + 15c = 200 dollars
-----
4a + 3c = 40
------
a = (-3/4)c + 40
-----
If a is to be a whole number "c" must be divisible by 4
-----
If c = 4, a = 37
If c = 8, a = 34
If c = 12, a = 31
See the pattern?
Cheers,
Stan H.
RELATED QUESTIONS
The tickets for a museum cost $8 for adults and $2.50 for children. How many tickets of... (answered by ikleyn)

for the opening day of a carnival, 800 admission tickets were sold. the receipts totaled... (answered by lwsshak3)

Entrance tickets for a carnival are $5 for children and $10 for adults. If one evening... (answered by Boreal)

Entrance tickets for a carnival are $8 for children and $13 for adults. If one evening... (answered by rfer)

Plane tickets cost $600 for adults and $200 for children on a certain flight to the... (answered by ankor@dixie-net.com)

tickets for a movie cost $7.25 for adults and $5.75 for children. One day 12 tickets were (answered by algebrahouse.com)

James sold 450 tickets for the community play tickets for children cost two dollars in... (answered by josgarithmetic)

The enterence fee for a carnival is $5 for children and $10 for adults. If one evening... (answered by josgarithmetic,ikleyn,MathTherapy)

MOVIE TICKETS COST $5 FOR ADULTS AND $2 FOR CHILDREN. ON ONE DAY 785 TICKETS WERE SOLD... (answered by macston)