The cost for decorations and the disc jockey for the homecoming dance was $1,800. The class members sold 279 tickets and made a profit of $3,450. How much were tickets?

Question

2266 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-21T23:00:25

The tickets were $18.82 each.

We begin by dissecting the problem.

$"cost" = $1800$
$"profit" = $3450$
$"tickets" = 279$

Now, we should set up an equation for this situation.

$"tickets" * "price" - "cost" = "profit"$

We know everything except for the price. Plug in all of the numbers that we do know into the equation:

$279 * "price" - $1800 = $3450$

and now we can solve for the price.

$279 * "price" - $1800 = $3450$

$279 * "price" = $3450 + $1800 = $5250$
$"price" = $5250 / 279$
$"price" approx $18.82$
$square$