SOLUTION: MOVIE TICKETS COST $5 FOR ADULTS AND $2 FOR CHILDREN. ON ONE DAY 785 TICKETS WERE SOLD FOR $3280. HOW MANY CHILDREN'S TICKETS WERE SOLD?

Question 963725: MOVIE TICKETS COST $5 FOR ADULTS AND $2 FOR CHILDREN. ON ONE DAY 785 TICKETS WERE SOLD FOR $3280. HOW MANY CHILDREN'S TICKETS WERE SOLD?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
A=number of adult tickets; C=number of child tickets
A+C=785
A=785-C Use this to substitute for A.
$5A+$2C=$3280 Substitute for A.
$5(785-C)+$2C=$3280
$3925-$5C+$2C=$3280 Subtract $3925 from each side.
-$3C=-$645 Divide each side by -$3
C=215 ANSWER There were 215 child tickets sold.
CHECK:
A=785-C=785-215=570
$5A+$2C=$3280
$5(570)+$2(215)=$3280
$2850+$430=$3280
$3280=$3280

RELATED QUESTIONS
Movie tickets at a local theater cost $6 for adults and $2 for children under 12. If 175... (answered by sachi,josmiceli)

At a movie theater, the ratio of tickets sold for adults and children was 2 to 3. If 177... (answered by Alan3354)

A movie theater has 2 ticket prices: 11$ for adults and 6$ for children. On a certain... (answered by wilft1)

A movie theater charges $5 for adults ticket and $2 for childs ticket. One Saturday the... (answered by mananth)

Ticket prices for the theatre are $5 for adults and $2 for children. The theatre sold... (answered by Maths68)

On weekdays, a movie theater charges different rates for adults and children. If 3 adults (answered by Boreal,rothauserc)

Tickets for a play cost $3 for adults and $2 for children. 350 tickets were sold and... (answered by josmiceli)

Movie tickets at a local theater cost $6 for adults an $2 for children. If 175 tickets... (answered by solver91311)

On weekdays, a movie theater charges different rates for adults and children. If 3... (answered by stanbon)