SOLUTION: The Red Rose Theatre sells tickets for $4.50 and $6.00. A total of 380 tickets were sold for their thast performance of "Mickey the Mouse". If the sales for the performance totaled

Question 363409: The Red Rose Theatre sells tickets for $4.50 and $6.00. A total of 380 tickets were sold for their thast performance of "Mickey the Mouse". If the sales for the performance totaled $1972.50, how many tickets were sold at each price?
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
4.50X+6.00Y=1,972.50
X+Y=380 OR X=380-Y
4.50(380-Y)+6.00Y=1,972.50
1,710-4.50Y+6.00Y=1,972.50
1.50Y=1,972.50-1,710
1.50Y=262.50
Y=252.50/1.50
Y=175 $6.00 TICKETS WERE SOLD.
X=380-175=205 $4.50 TICKETS WERE SOLD.
PROOF:
4.50*205+6.00*175=1,972.50
922.50+1,050=1,972.50
1,972.50=1,972.50

RELATED QUESTIONS
the red rose theater sells tickets for $4.50 and $6.00. a total of 380 tickets were sold... (answered by josgarithmetic,MathTherapy)

Tickets to a local movie were sold for $6.00 for adults and $4.50 for students. If 276... (answered by math_tutor2020,josgarithmetic,greenestamps)

Theatre sold children ticket for $6 and adult ticket for $10. A total ticket of 80... (answered by mananth)

On the first day, Cindy sells 6 adult tickets and 5 children's tickets for a total of... (answered by MathLover1,ikleyn,josgarithmetic,greenestamps)

For a United Way fund-raising dinner, a total of 245 tickets were sold. Adult tickets... (answered by ewatrrr,Alan3354)

A movie theatre sells two types of tickets: adult and child. On Tuesday, the theatre sold (answered by Alan3354)

for the first performance of a play in a community theater, 50 reserved-seat tickets... (answered by ankor@dixie-net.com)

At the movie theatre, child admission is $5.20 and adult admission is $9.90. On... (answered by Alan3354)

At the movie theatre, child admission is $5.20 and adults admission is $9.90. On... (answered by ikleyn)