SOLUTION: Children's tickets cost $5 and kids tickets cost $8 and twenty-eight tickets were sold and the cost of everything was $164 how many adults were there how many kids were there

Algebra.Com
Question 1084665: Children's tickets cost $5 and kids tickets cost $8 and twenty-eight tickets were sold and the cost of everything was $164 how many adults were there how many kids were there
Answer by Cromlix(4381)   (Show Source): You can put this solution on YOUR website!
Hi there,
I take it you mean adult's tickets cost $8 and kid's tickets cost $5.
Make adult's tickets = x
Make kid's tickets = y
x + y = 28.......Eq(1)
8x + 5y = 164....Eq(2)
Multiply Eq(1) by 8
8x + 8y = 224....Eq(1)
8x + 5y = 164....Eq(2)
Subtract Eq(2) from Eq(1)
3y = 60
y = 20.
Substitute y = 20 into Eq(1)
x + y = 28.....Eq(1)
x + 20 = 28
x = 28 - 20
x = 8
8 Adult's tickets and 20 kid's tickets were sold.
Hope this helps :-)

RELATED QUESTIONS

A total of 50 tickets were sold for a play. Children tickets cost $5 and adult tickets... (answered by Edwin McCravy)
At a college basketball game, students’ tickets cost 12 pesos each, adults’ tickets cost... (answered by richwmiller)
write an equation for adult tickets to a play cost $5 and kids tickets cost $2. if 295... (answered by stanbon)
for the opening day of a carnival, 800 admission tickets were sold. the receipts totaled... (answered by lwsshak3)
At the local drive-in theater, the manager sold 200 tickets. Adult tickets cost $9 each, (answered by mananth,Theo,greenestamps)
adult tickets for a play cost $5 and children tickets cost $2 for 1 person. 460 tickets... (answered by tutorcecilia)
Hi, can you please help me solve this world problem for the second part of my homework? (answered by ikleyn)
adult tickets cost $8.50 and kids under 12 pay only $8.00. If 54 tickets are sold for a... (answered by mananth)
tickets for the show cost $2.00 for adults and $1.50 for children. how many adult tickets (answered by josgarithmetic)