SOLUTION: Six times as many grandstand tickets(g) as box-seat tickets(b) were sold for the baseball game. Grandstand tickets cost $15 and box-seat tickets cost $24. The total amount of tic

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Six times as many grandstand tickets(g) as box-seat tickets(b) were sold for the baseball game. Grandstand tickets cost $15 and box-seat tickets cost $24. The total amount of tic      Log On


   



Question 143501: Six times as many grandstand tickets(g) as box-seat tickets(b) were sold for the baseball game. Grandstand tickets cost $15 and box-seat tickets cost $24. The total amount of ticket sales for grandstand and box-seat tickets was $90,744.
a) write a system of equations that describes the above situation

b) solve the system of equations you wrote in part a to find the number of box-seat tickets and grandstand tickets that were sold

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
g+=+6b
15g+%2B+24b+=+90744
Substitute g in 1st equation for g
in 2nd equation
15%2A6b+%2B+24b+=+90744
90b+%2B+24b+=+90744
114b+=+90744
b+=+796
g+=+6b
g+=+4776
796 box seats and 4776 grandstand seats were sold
check answer:
15g+%2B+24b+=+90744
15%2A4776+%2B+24%2A796+=+90744
71640+%2B+19104+=+90744
90744+=+90744
OK