Question

I theater sells tickets for a concert. Tickets for lower-level seats sell for $35 each and tickets for upper-level seats sell for $25 each. The theater sells 350 tickets for $10,250 how many tickets of each type or sold?

Answer 1

Let X= the number of tickets sold at $35 each

Let 350 -X = the number of tickets sold at $25 each

The number of tickets sold for each type will be computed as follows:

X(35)+(350-X)25=10250

35X+8750-25X=10250

10X=10250-8750

X=1500/10

X=150 the number of tickets sold at $35 each

350-150 the number of tickets sold at $25 each

To recheck:

150(35)+200(25)

5250+5000

10250