Question

Two types of tickets are available for a charity ball event: $18 for a reserved seat and $9 for general admission. The number of reserved seats available is 85 less than the number of tickets available for general admission. If the sale of tickets for the day was $3600, how many seats were allotted for general admission?

Answer 1

190 seats

Explanation:

Firstly, we assign variables. Let the number of reserved seats be r and the numbers of general seats be g.

We have 85 more general seats than reserved seats. Mathematically,

g = r+ 85

Also we can form another equation with the cost of each seat

18r + 9g = 3600

Substitute the first equation into the second,

18r + 9(r + 85) = 3600

18r + 9r + 765 = 3600

27r = 3600 -765

27r = 2835

r = 2835/27 = 105

Now the number of general seats is 85 more than reserved seats. The number is this 85 + 105 = 190