Some visitors paid a total of $760 for entrance tickets to a theme park. The entrance ticket for a child cost $8. The entrance ticket for an adult cost 2 times as much. If there were 13 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 13 |
1 u |
|
Value |
$16 |
$8 |
|
Total value |
16 u + 208 |
8 u |
$760 |
(a)
Cost of an adult ticket
= 2 x 8
= $16
Cost of all the adult tickets
= 16(1 u + 13)
= 16 u + 208
Total cost of the tickets
= 16 u + 208 + 8 u
= 24 u + 208
24 u + 208 = 760
24 u = 760 - 208
24 u = 552
1 u = 552 ÷ 24 = 23
Total number of children
= 1 u
= 23
(b)
Total number of adults
= 1 u + 13
= 23 + 13
= 36
Answer(s): (a) 23; (b) 36