Question

At the local ball park, the team charges $5 for each ticket and expects to make $1,400 in concessions. The team must pay its players $2,000 and play all other workers $1,600. Each fan gets a free bar that costs the team $3 per bag. How many tickets must be sold to break even

Answer 1

The number of tickets must be sold is 2500

Explanation:

The charge for each ticket = $ 5

The concessions amount = $ 1400

The amount paid to players = $ 2000

The amount paid to workers = $ 1600

The cost of each bag given to each fan = $ 3 per bag

Let The number of tickets sold = x

Now, number of ticket sold = number of fans = x

So, According to question

( charge per ticket × number of fans - cost of each bag × number of fan - concession amount ) = amount paid to players + amount paid to workers

Or, $5 x - $3 x - $1400 = $2000 + $1600

Or, $2 x = $3600 + $1400

Or, $2 x = $5000

∴ x =
`(5000)/(2)` = 2500

Hence Answer