Tickets to a concert hall were sold to senior citizens, adults and children at different prices as shown.
|
Price |
Senior citizen ticket |
$5 |
Child ticket |
$6 |
Adult ticket |
$16 |
16 of the tickets sold were bought by senior citizens and
37 of them were bought by adults. The rest were bought by children.
- What fraction of the tickets sold were bought by children?
- A total amount of $8075 was collected from the sale of the tickets. How many children bought the tickets?
(a)
Fraction of tickets bought by the children
= 1 -
16 -
37 = 1 -
742 -
1842 =
1742 (b)
|
Senior Citizens |
Children |
Adults |
Number |
7 u |
17 u |
18 u |
Value |
5 |
6 |
16 |
Total value |
35 u |
102 u |
288 u |
Total amount collected
= 35 u + 102 u + 288 u
= 425 u
425 u = 8075
1 u = 8075 ÷ 425 = 19
Number of children who bought the tickets
= 17 u
= 17 x 19
= 323
Answer(s): (a)
1742; (b) 323