There are seven times as many children as adults in a bird park. There are 61 more girls than boys. If there are 504 people in the bird park,
- how many children are there?
- how many boys are there?
- how many girls are there?
| Children |
Adults |
Total |
| 7 u |
1 u |
8 u |
| Boys |
Girls |
|
|
| 1 p |
1 p + 61 |
|
|
(a)
Number of adults = 1 u
Number of children = 7 x 1 u = 7 u
Total number of people
= 7 u + 1 u
= 8 u
8 u = 504
1 u = 504 ÷ 8 = 63
(a)
Number of children
= 7 u
= 7 x 63
= 441
(b)
Number of boys = 1 p
Number of girls = 1 p + 61
1 p + 1 p + 61 = 441
2 p + 61 = 441
2 p = 441 - 61
2 p = 380
1 p = 380 ÷ 2 = 190
Number of boys
= 1 p
= 190
(c)
Number of girls
= 1 p + 61
= 190 + 61
= 251
Answer(s): (a) 441; (b) 190; (c) 251
