Question

The cost of an adult ticket for a Saturday matinee at Turtle Cinema is $7.00. The cost of a student ticket is $2.00 less than the cost of an adult ticket. For a particular Saturday matinee, the cinema sold 45 tickets and collected $265.00. How many student tickets were sold for the Saturday matinee?

Answer 1

The answer is 25 student tickets

Explanation:

If:

Adult ticket price = 7

Student ticket price = 7-2 = 5

Adult ticket quantity = x

Student ticket quantity = y

Ticket quantity sold = x + y =45

Saturday sells = 265

Then:

`\left \{ {{x+y=45} \atop {7x+5y=265}} \right.`

So:

x= 45 - y

265 = 7(45 - y) + 5y

265 = 315 - 7y + 5y

265 = 315 -2y

265 - 315 = -2y

-50 = -2y

y= 50/2

y=25