There are twice as many children as adults in a theme park. There are 86 more girls than boys. If there are 585 people in the theme park,
- how many children are there?
- how many boys are there?
- how many girls are there?
| Children |
Adults |
Total |
| 2 u |
1 u |
3 u |
| Boys |
Girls |
|
|
| 1 p |
1 p + 86 |
|
|
(a)
Number of adults = 1 u
Number of children = 2 x 1 u = 2 u
Total number of people
= 2 u + 1 u
= 3 u
3 u = 585
1 u = 585 ÷ 3 = 195
(a)
Number of children
= 2 u
= 2 x 195
= 390
(b)
Number of boys = 1 p
Number of girls = 1 p + 86
1 p + 1 p + 86 = 390
2 p + 86 = 390
2 p = 390 - 86
2 p = 304
1 p = 304 ÷ 2 = 152
Number of boys
= 1 p
= 152
(c)
Number of girls
= 1 p + 86
= 152 + 86
= 238
Answer(s): (a) 390; (b) 152; (c) 238
