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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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      Log On


   

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) About Me  (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