The table shows the cost of tickets and number of tickets sold at a carnival on a particular day. An adult ticket cost more than a child ticket.

(a)
The total amount collected from the sale of tickets that day was $ (330s + 7820).
(b)
If an additional 130 adult tickets were sold, the amount collected from the sale of child tickets is less than the amount collected from that of adult tickets.
(c)
The amount collected from the sale of adult tickets was less than the amount collected from that of child tickets.

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Worked solution

1. Calculate the total amount collected from child tickets

Amount from child tickets = $17 \times 460 = 7820$

2. Formulate the expression for the total amount collected from adult tickets

Amount from adult tickets = $s \times 330 = 330s$

3. Combine the amounts to find the total amount collected

Total amount = $330s + 7820$

Answer

$\char36{}(330s + 7820)$

1. Calculate the amount collected from child tickets

Amount from child tickets = $17 \times 460 = 7820$

2. Formulate the expression for the new amount collected from adult tickets

New number of adult tickets = $330 + 130 = 460$
Amount from adult tickets = $460 \times s = 460s$

3. Write the inequality based on the given condition

Amount from child tickets < Amount from adult tickets
$7820 < 460s$
$460s > 7820$

Answer

$460s > 7820$

AI analysis — may contain mistakes.

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