Question

Two types of tickets are sold to a play. Floor seats cost $45 each and balcony seats cost $25 each. A play sells 107 tickets and makes a total of $3,375. How many of each type of ticket are sold?

Answer 1

floor seats=35

and the balcony seats =72

Explanation:

Step one

given data

let the floor seats be x

and the balcony seats be y

so

45x+25y=3375-------1

x+y= 107----------------2

from 2, x= 107-y

put x= 107-y in 1

45(107-y)+25y=3375

4815-45y+25y=3375

collect like terms

-45y+25y= 3375-4815

-20y=-1440

divide both sides by -20

y=72

put y= 72 in eqn 2

x+72=107

x=107-72

x=35