There are thrice as many children as adults in a safari park. There are 106 more girls than boys. If there are 608 people in the safari park,
- how many children are there?
- how many boys are there?
- how many girls are there?
Children |
Adults |
Total |
3 u |
1 u |
4 u |
Boys |
Girls |
|
|
1 p |
1 p + 106 |
|
|
(a)
Number of adults = 1 u
Number of children = 3 x 1 u = 3 u
Total number of people
= 3 u + 1 u
= 4 u
4 u = 608
1 u = 608 ÷ 4 = 152
(a)
Number of children
= 3 u
= 3 x 152
= 456
(b)
Number of boys = 1 p
Number of girls = 1 p + 106
1 p + 1 p + 106 = 456
2 p + 106 = 456
2 p = 456 - 106
2 p = 350
1 p = 350 ÷ 2 = 175
Number of boys
= 1 p
= 175
(c)
Number of girls
= 1 p + 106
= 175 + 106
= 281
Answer(s): (a) 456; (b) 175; (c) 281