Question

To watch a varsity basketball game, spectators must buy a ticket at the door. The cost of an adult ticket is $3.00 and the cost of a student ticket is $1.50. If the number of adult tickets sold is represented by a, and there are 120 tickets to be sold, write an expression that represents the amount of money collected at the door from the ticket sales

Answer 1

Total Sales
`\leq` $1.5a + $180

Explanation:

Let s be the number of student tickets sold.

The total of s and b tickets is therefore ≤120. a + b ≤ 120. We can then say that b = ≤(120 - a).

Total sales is the sum of adult and student tickets sold at their respective prices:

Adult = a*($3)

Student = b*($1.5), or = ≤(120-a)($1.5)

Total = $3a ≤ $1.5(120-a)

Total Sales = $3a ≤ ($180 -$1.5a)

Total Sales
`\leq` $1.5a + $180