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?

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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#