Question

B. The school prom committee sold presale tickets for

$18 each. Couples that showed up on the day of the
dance has to pay $24 each. There were 334 tickets
that were sold and the committee made $7320. How
many students purchased tickets at the dance?

Answer 1

218 students purchased tickets at the dance.

Explanation:

Let,

x be the number of presale tickets

y be the number of tickets sold at the dance

According to given statement;

x+y=334 Eqn 1

18x+24y=7320 Eqn 2

Multiplying Eqn 1 by 18

18(x+y=334)

18x+18y=6012 Eqn 3

Subtracting Eqn 3 from Eqn 2

(18x+24y)-(18x+18y)=7320-6012

18x+24y-18x-18y=1308

6y=1308

`(6y)/(6)=(1308)/(6)\\y=218`

Therefore,

218 students purchased tickets at the dance.