The table shows the prices of tickets for a ballet performance for an adult ticket and a child ticket.
13 of the tickets sold were for adults. The total amount of money collected from sale of the child tickets was $106 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 |
$20 |
Child |
$11 |
|
Adults |
Children |
More |
Total |
Number |
1 u |
2 u |
|
|
Value |
20 |
11 |
|
|
Total value |
20 u |
22 u |
2 u |
42 u |
Fraction of tickets sold to children
= 1 -
13=
23Amount collected more from the sale of the child tickets than the sale of adult tickets
= 22 u - 20 u
= 2 u
2 u = 106
1 u = 106 ÷ 2 = 53
Number of child tickets sold
= 2 u
= 2 x 53
= 106
(b)
Total amount collected from the sale of all the tickets
= 20 u + 22 u
= 42 u
= 42 x 53
= $2226
Answer(s): (a) 106; (b) $2226