Question

The entire band decides to have a concert to raise the money for the trip. Tickets for the concert will cost

$
7.50
$7.50 each. A local business agrees to donate an additional
$
0.50
$0.50 for each
$
1.00
$1.00 in ticket sales to the band for their trip.

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What is the least number of concert tickets the band must sell in order to raise the rest of the money needed for the trip?

​Enter your answer in the box.

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Answer 1

Answer: 100 concert tickets

Explanation:

Let "x" be the number of concert tickets the band must sell.

The cost per ticket is $7.50, and the local business donates an additional $0.50 for each $1.00 in ticket sales. So, for each ticket sold, the band receives $7.50 + $0.50 = $8.00.

To raise the rest of the money needed for the trip, they need to raise a total of $800.00 (as calculated earlier).

Now, we can set up an equation:

Total earnings from ticket sales = Number of tickets sold × Earnings per ticket

$8.00x = $800.00

To find the least number of tickets the band must sell, divide both sides of the equation by $8.00:

x = $800.00 / $8.00

x = 100

So, the band must sell at least 100 concert tickets to raise the rest of the money needed for the trip.