There are six times as many children as adults in a safari park. There are 98 more girls than boys. If there are 525 people in the safari 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 + 98 |
|
|
(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 = 525
1 u = 525 ÷ 7 = 75
(a)
Number of children
= 6 u
= 6 x 75
= 450
(b)
Number of boys = 1 p
Number of girls = 1 p + 98
1 p + 1 p + 98 = 450
2 p + 98 = 450
2 p = 450 - 98
2 p = 352
1 p = 352 ÷ 2 = 176
Number of boys
= 1 p
= 176
(c)
Number of girls
= 1 p + 98
= 176 + 98
= 274
Answer(s): (a) 450; (b) 176; (c) 274
