Question

Tickets for a school play cost $4 for adults and $3 for students. The school sold a total of 105 and collected $360. How much adult tickets and student tickets were sold?

Answer 1

Answer: Adults tickets= 45.

Students ticket= 60

Explanation:

Tickets price for adults= $4

Tickets price for students= $3

Let the number of adults tickets sold be y.

Let the number of students ticket sold be z.

y+z= 105 ...........i

4y+3z= 360....... ii

Multiply equation i by 4

Multiply equation ii by 1

4y+4z= 420.......... iii

4y+3z= 360.......... iv

Subtract equation iv from iii

z= 60

Number of students ticket sold is 60.

Put the value of z in equation I

y+z= 105

y+60= 105

y= 105-60

y= 45

Number of tickets sold to adults are 45