The table shows the prices of tickets for a concert for an adult ticket and a child ticket.
15 of the tickets sold were for adults. The total amount of money collected from sale of the child tickets was $945 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?
|
Adults |
Children |
More |
Total |
Number |
1 u |
4 u |
|
|
Value |
21 |
9 |
|
|
Total value |
21 u |
36 u |
15 u |
57 u |
Fraction of tickets sold to children
= 1 -
15=
45Amount collected more from the sale of the child tickets than the sale of adult tickets
= 36 u - 21 u
= 15 u
15 u = 945
1 u = 945 ÷ 15 = 63
Number of child tickets sold
= 4 u
= 4 x 63
= 252
(b)
Total amount collected from the sale of all the tickets
= 21 u + 36 u
= 57 u
= 57 x 63
= $3591
Answer(s): (a) 252; (b) $3591