The table shows the prices of tickets for a drama performance 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 $1932 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 |
$25 |
Child |
$12 |
|
Adults |
Children |
More |
Total |
Number |
1 u |
4 u |
|
|
Value |
25 |
12 |
|
|
Total value |
25 u |
48 u |
23 u |
73 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
= 48 u - 25 u
= 23 u
23 u = 1932
1 u = 1932 ÷ 23 = 84
Number of child tickets sold
= 4 u
= 4 x 84
= 336
(b)
Total amount collected from the sale of all the tickets
= 25 u + 48 u
= 73 u
= 73 x 84
= $6132
Answer(s): (a) 336; (b) $6132