Some visitors paid a total of $1773 for entrance tickets to a theme park. The entrance ticket for a child cost $9. The entrance ticket for an adult cost 4 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 |
$36 |
$9 |
|
Total value |
36 u + 468 |
9 u |
$1773 |
(a)
Cost of an adult ticket
= 4 x 9
= $36
Cost of all the adult tickets
= 36(1 u + 13)
= 36 u + 468
Total cost of the tickets
= 36 u + 468 + 9 u
= 45 u + 468
45 u + 468 = 1773
45 u = 1773 - 468
45 u = 1305
1 u = 1305 ÷ 45 = 29
Total number of children
= 1 u
= 29
(b)
Total number of adults
= 1 u + 13
= 29 + 13
= 42
Answer(s): (a) 29; (b) 42