Question

Nola was selling tickets. At the end of the evening she picked up the cash box and noticed a dollar on the floor and wonder if it was supposed to be in the box
The price of tickets for the Dance was 1$(for individuals) or 2 tickets for 8$(for couples) she looked inside the cash box and found 200$ and ticket subs for the 47 students in attendance, does the dollar nola found on the ground belong in the box ?

Answer 1

Let X = Individual ticket and y = couples tickets.

Set up two equations:

X + Y = 47 tickets sold

1X + 8y = $200

Rewrite the first equation as X = 47-y

Replace x in the second equation and solve:

1(47-y) = 8y = 200

Simplify:

47 - y + 8y = 200

Combine like terms:

47 +7y = 200

Subtract 47 from both sides:

7y = 153

Divide both sides by 7:

y = 153 / 7

y = 21.857

Because Y does not equal a whole number, the extra dollar does belong in the box.