Some visitors paid a total of $202 for entrance tickets to a theme park. The entrance ticket for a child cost $2. The entrance ticket for an adult cost 2 times as much. If there were 10 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 10 |
1 u |
|
Value |
$4 |
$2 |
|
Total value |
4 u + 40 |
2 u |
$202 |
(a)
Cost of an adult ticket
= 2 x 2
= $4
Cost of all the adult tickets
= 4(1 u + 10)
= 4 u + 40
Total cost of the tickets
= 4 u + 40 + 2 u
= 6 u + 40
6 u + 40 = 202
6 u = 202 - 40
6 u = 162
1 u = 162 ÷ 6 = 27
Total number of children
= 1 u
= 27
(b)
Total number of adults
= 1 u + 10
= 27 + 10
= 37
Answer(s): (a) 27; (b) 37