There are six times as many children as adults in a safari park. There are 184 more boys than girls. If there are 581 people in the safari park,
- how many children are there?
- how many girls are there?
- how many boys are there?
| Children |
Adults |
Total |
| 6 u |
1 u |
7 u |
| Girls |
Boys |
|
|
| 1 p |
1 p + 184 |
|
|
(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 = 581
1 u = 581 ÷ 7 = 83
(a)
Number of children
= 6 u
= 6 x 83
= 498
(b)
Number of girls = 1 p
Number of boys = 1 p + 184
1 p + 1 p + 184 = 498
2 p + 184 = 498
2 p = 498 - 184
2 p = 314
1 p = 314 ÷ 2 = 157
Number of girls
= 1 p
= 157
(c)
Number of boys
= 1 p + 184
= 157 + 184
= 341
Answer(s): (a) 498; (b) 157; (c) 341
