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 $424 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?
|
Adults |
Children |
More |
Total |
Number |
1 u |
4 u |
|
|
Value |
20 |
7 |
|
|
Total value |
20 u |
28 u |
8 u |
48 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
= 28 u - 20 u
= 8 u
8 u = 424
1 u = 424 ÷ 8 = 53
Number of child tickets sold
= 4 u
= 4 x 53
= 212
(b)
Total amount collected from the sale of all the tickets
= 20 u + 28 u
= 48 u
= 48 x 53
= $2544
Answer(s): (a) 212; (b) $2544