Tickets for the school play were priced at ₦520.00 each for adults and ₦250.00 each for kids. How many kids' tickets were sold if the total sales were ₦171,000.00 and there were 5 times as many adult tickets sold as children's tickets?
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Correct Answer: Option D
Explanation:
Let number of children's ticket at ₦250.00 each = \(x\)
∴ Number of adult tickets at ₦520.00 each = 5\(x\)
Then,
Total amount of money received from children's tickets = 250\(x\)
Total amount of money received from adult tickets = 520(5\(x\))
⇒ 250\(x\) + 520(5\(x\)) = 171,000
⇒ 250\(x\) + 2600\(x\) = 171,000
⇒ 2850\(x\) = 171,000
⇒ \(x = \frac{171,000}{2850} = 60\)
∴ 60 tickets were sold at ₦250.00 and 300 tickets were sold at ₦520.00
Let number of children's ticket at ₦250.00 each = \(x\)
∴ Number of adult tickets at ₦520.00 each = 5\(x\)
Then,
Total amount of money received from children's tickets = 250\(x\)
Total amount of money received from adult tickets = 520(5\(x\))
⇒ 250\(x\) + 520(5\(x\)) = 171,000
⇒ 250\(x\) + 2600\(x\) = 171,000
⇒ 2850\(x\) = 171,000
⇒ \(x = \frac{171,000}{2850} = 60\)
∴ 60 tickets were sold at ₦250.00 and 300 tickets were sold at ₦520.00