Question

At the local ballpark, the team charges $7 00 for each ticket and expects to make $1,300 00 in concessions. The team must pay its players $1,800.00 and pay all other workers $1,500.00 Each fan gets a tree bat that costs the team $3 00 per bal of the following, what is the smallest number of tickets that must be sold to break even? A 700 8500 C 1000 D 7500

Answer 1

In order to determine the number of tickets, consider that all money from the sold of tickets, must be at least equal to the total expenses.

If x is the number of tickets sold, the total expenses are:

1,800 + 1,500 + 3.00x

where 3.00x is the expense from the tree bat of each fan (the number of tickets sold is equal to the number of fans)

The money the team earns from tickets and concessions is 7.00x + 1,300, and this quantity must be equal to the total expenses:

7.00x + 1,300 = 1,800 + 1,500 + 3.00x subtract 3.00x both sides

7.00x - 3.00x + 1,300 = 1,800 + 1,500 subtract 1,300 both sides

7.00x - 3.00x = 1,800 + 1,500 - 1,300 simplify like terms

4.00x = 2,000 divide by 4.00 both sides

x = 2,000/4.00

x = 500

Hence, at least 500 tickets must be sold.