The table shows the prices of tickets for a ballet performance for an adult ticket and a child ticket.
15 of the tickets sold were for adults. The total amount of money collected from sale of the child tickets was $492 more than the total amount collected from the sale of adult tickets.
- How many child tickets were sold?
- How much money was collected from the sale of all the tickets?
|
Price |
Adult |
$42 |
Child |
$12 |
|
Adults |
Children |
More |
Total |
Number |
1 u |
4 u |
|
|
Value |
42 |
12 |
|
|
Total value |
42 u |
48 u |
6 u |
90 u |
Fraction of tickets sold to children
= 1 -
15=
45Amount collected more from the sale of the child tickets than the sale of adult tickets
= 48 u - 42 u
= 6 u
6 u = 492
1 u = 492 ÷ 6 = 82
Number of child tickets sold
= 4 u
= 4 x 82
= 328
(b)
Total amount collected from the sale of all the tickets
= 42 u + 48 u
= 90 u
= 90 x 82
= $7380
Answer(s): (a) 328; (b) $7380