There are thrice as many children as adults in a zoo. There are 86 more girls than boys. If there are 368 people in the zoo,
- 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 + 86 |
|
|
(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 = 368
1 u = 368 ÷ 4 = 92
(a)
Number of children
= 3 u
= 3 x 92
= 276
(b)
Number of boys = 1 p
Number of girls = 1 p + 86
1 p + 1 p + 86 = 276
2 p + 86 = 276
2 p = 276 - 86
2 p = 190
1 p = 190 ÷ 2 = 95
Number of boys
= 1 p
= 95
(c)
Number of girls
= 1 p + 86
= 95 + 86
= 181
Answer(s): (a) 276; (b) 95; (c) 181
