The table shows the prices of tickets for a ballet performance for an adult ticket and a child ticket.
14 of the tickets sold were for adults. The total amount of money collected from sale of the child tickets was $670 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 |
$23 |
Child |
$11 |
|
Adults |
Children |
More |
Total |
Number |
1 u |
3 u |
|
|
Value |
23 |
11 |
|
|
Total value |
23 u |
33 u |
10 u |
56 u |
Fraction of tickets sold to children
= 1 -
14=
34Amount collected more from the sale of the child tickets than the sale of adult tickets
= 33 u - 23 u
= 10 u
10 u = 670
1 u = 670 ÷ 10 = 67
Number of child tickets sold
= 3 u
= 3 x 67
= 201
(b)
Total amount collected from the sale of all the tickets
= 23 u + 33 u
= 56 u
= 56 x 67
= $3752
Answer(s): (a) 201; (b) $3752