a total of 500 tickets were sold for a fundraising concert. Four times as many floor seats were sold than VIP seats. If each floor seat ticket sold for $10 and each VIP ticket sold for $45, how much money was collected?

Question

Mathematics

Puck

20 September, 06:15

a total of 500 tickets were sold for a fundraising concert. Four times as many floor seats were sold than VIP seats. If each floor seat ticket sold for $10 and each VIP ticket sold for $45, how much money was collected?

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Answers (1)

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Serena Whitney · Answer 1

Answer:total amount that was was collected is $8500

Step-by-step explanation:

Let x represent the total number of floor seats sold.

Let y represent the total number of VIP seats sold.

The total number of tickets sold for the fund raising concert was 500. This means that

x + y = 500

Four times as many floor seats were sold than VIP seats. It means that

x = 4y

Substituting x = 4y into x + y = 500, it becomes

4y + y = 500

5y = 500

y = 500/5 = 100

x = 4y = 4 * 100

x = 400

If each floor seat ticket sold for $10 and each VIP ticket sold for $45, the total money collected would be

10 * 400 + 45 * 100 = 4000 + 4500

= $8500