There are six times as many children as adults in a bird park. There are 162 more girls than boys. If there are 651 people in the bird park,
- how many children are there?
- how many boys are there?
- how many girls are there?
| Children |
Adults |
Total |
| 6 u |
1 u |
7 u |
| Boys |
Girls |
|
|
| 1 p |
1 p + 162 |
|
|
(a)
Number of adults = 1 u
Number of children = 6 x 1 u = 6 u
Total number of people
= 6 u + 1 u
= 7 u
7 u = 651
1 u = 651 ÷ 7 = 93
(a)
Number of children
= 6 u
= 6 x 93
= 558
(b)
Number of boys = 1 p
Number of girls = 1 p + 162
1 p + 1 p + 162 = 558
2 p + 162 = 558
2 p = 558 - 162
2 p = 396
1 p = 396 ÷ 2 = 198
Number of boys
= 1 p
= 198
(c)
Number of girls
= 1 p + 162
= 198 + 162
= 360
Answer(s): (a) 558; (b) 198; (c) 360
