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 $1209 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 |
3 u |
|
|
Value |
20 |
11 |
|
|
Total value |
20 u |
33 u |
13 u |
53 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 - 20 u
= 13 u
13 u = 1209
1 u = 1209 ÷ 13 = 93
Number of child tickets sold
= 3 u
= 3 x 93
= 279
(b)
Total amount collected from the sale of all the tickets
= 20 u + 33 u
= 53 u
= 53 x 93
= $4929
Answer(s): (a) 279; (b) $4929