The table shows the prices of tickets for a dance 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 $984 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 |
$24 |
Child |
$12 |
|
Adults |
Children |
More |
Total |
Number |
1 u |
3 u |
|
|
Value |
24 |
12 |
|
|
Total value |
24 u |
36 u |
12 u |
60 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
= 36 u - 24 u
= 12 u
12 u = 984
1 u = 984 ÷ 12 = 82
Number of child tickets sold
= 3 u
= 3 x 82
= 246
(b)
Total amount collected from the sale of all the tickets
= 24 u + 36 u
= 60 u
= 60 x 82
= $4920
Answer(s): (a) 246; (b) $4920