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steposvetlana [31]
2 years ago
10

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 lyi

ng 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
Mathematics
1 answer:
Blizzard [7]2 years ago
4 0

Answer:

The $1 belongs to the cash box

Step-by-step 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.

<em>So, we can conclude that the $1 belongs to the cash box</em>

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