The table shows the prices of tickets for a concert 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 $1300 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 |
$12 |
|
Adults |
Children |
More |
Total |
Number |
1 u |
3 u |
|
|
Value |
23 |
12 |
|
|
Total value |
23 u |
36 u |
13 u |
59 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 - 23 u
= 13 u
13 u = 1300
1 u = 1300 ÷ 13 = 100
Number of child tickets sold
= 3 u
= 3 x 100
= 300
(b)
Total amount collected from the sale of all the tickets
= 23 u + 36 u
= 59 u
= 59 x 100
= $5900
Answer(s): (a) 300; (b) $5900