There are five times as many children as adults in a theme park. There are 184 more girls than boys. If there are 240 people in the theme park,
- how many children are there?
- how many boys are there?
- how many girls are there?
| Children |
Adults |
Total |
| 5 u |
1 u |
6 u |
| Boys |
Girls |
|
|
| 1 p |
1 p + 184 |
|
|
(a)
Number of adults = 1 u
Number of children = 5 x 1 u = 5 u
Total number of people
= 5 u + 1 u
= 6 u
6 u = 240
1 u = 240 ÷ 6 = 40
(a)
Number of children
= 5 u
= 5 x 40
= 200
(b)
Number of boys = 1 p
Number of girls = 1 p + 184
1 p + 1 p + 184 = 200
2 p + 184 = 200
2 p = 200 - 184
2 p = 16
1 p = 16 ÷ 2 = 8
Number of boys
= 1 p
= 8
(c)
Number of girls
= 1 p + 184
= 8 + 184
= 192
Answer(s): (a) 200; (b) 8; (c) 192
