Question

Nola was selling tickets at the high school dance. At the end of the evening she picked up the cash box and noticed a dollar lying next to it. She said, "I wonder whether the dollar belongs inside the cash box or not." The price of tickets for the dance was 1 ticket for

Answer 1

The $1 belongs to the cash box

Explanation:

Given

See attachment for complete question

Required

Determine if the $1 belongs to the cash box or not

Represent singles with s and couples with c.

From the attachment, we have:

`s + c = 47` --- total attendance

`5s + 4c =200` --- ticket sold

Solve for s and c.

Make s the subject in (1)

`s = 47-c`

Substitute 47 - c for s in (2)

`5(47 - c) + 4c = 200`

Open bracket

`235 - 5c + 4c = 200`

`235 - c = 200`

`c = 235 - 200`

`c = 35`

This means that the total individual which makes up the couples are 35. This is not possible because couples are in 2's and the total should be an even number.

So, we can conclude that the $1 belongs to the cash box