Question

There are 150 tickets sold for a school play. Tickets for students were $2 and tickets for adults were $3. The total amount of money collected was $340. How many of each type of ticket were sold? Type in answer with # of adults, # of students EXAMPLE: 50, 100

Answer 1

students= 110

adults= 40

Explanation:

Step one:

given data

Tickets for students were $2 and tickets for adults were $3.

let students be x

and adults be y

so

2x+3y= 340--------------1

and

x+y= 150--------------------2

from 2

x= 150-y

from 1

2(150-y)+3y= 340

300-2y+3y= 340

collect like terms

y=340-300

y= 40

put y= 40 in 2

x+40=150

x= 150-40

x= 110