Question

the charge for admission to the aquarium is 2.75 for adults and 1.5 for children. on a day when 589 people paid to visit the aquarium, the reciepts were $1151. find the number of children's tickets sold that day

Answer 1

375

Explanation:

You want the number of children's tickets sold at $1.50 each if 589 tickets were sold for $1151, including adult tickets at $2.75 each.

Setup

Let c represent the number of children's tickets sold. Then 589-c is the number of adult tickets sold. The total revenue is ...

2.75(589 -c) +1.50(c) = 1151

Solution

-1.25c +1619.75 = 1151 . . . . . . . simplify

468.75 = 1.25c . . . . . . . . . . . add 1.25c-1151

375 = c . . . . . . . . . . . . . . . divide by 1.25

375 children's tickets were sold that day.