There are thrice as many children as adults in a zoo. There are 50 more boys than girls. If there are 608 people in the zoo,
- how many children are there?
- how many girls are there?
- how many boys are there?
| Children |
Adults |
Total |
| 3 u |
1 u |
4 u |
| Girls |
Boys |
|
|
| 1 p |
1 p + 50 |
|
|
(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 girls = 1 p
Number of boys = 1 p + 50
1 p + 1 p + 50 = 456
2 p + 50 = 456
2 p = 456 - 50
2 p = 406
1 p = 406 ÷ 2 = 203
Number of girls
= 1 p
= 203
(c)
Number of boys
= 1 p + 50
= 203 + 50
= 253
Answer(s): (a) 456; (b) 203; (c) 253
