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a group of teachers, parents, and students attended a concert. the adults paid $1,200 altogether and the students paid $640 altogether for their tickets. the price of an adult ticket was $60, and there were 4 more teachers than parents. how many parents were there in the group?



Answer :

There were 4 parents in the group attending a concert.

The number of adults = total amount paid for the ticket ÷ cost of each ticket

The number of adults = 1200 ÷ 60

Performing division

The number of adults = 20

Let the number of parents be x. So, the number of teachers will be (20 - x). But, number of teachers is (x + 4). So, relating the two -

20 - x = x + 4

Rewriting the equation

x + x = 20 - 4

Performing addition on LHS and subtraction in RHS

2x = 16

Performing division

x = 8

There were 8 parents in the group.

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