There are six times as many children as adults in a zoo. There are 160 more boys than girls. If there are 427 people in the zoo,
- 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 + 160 |
|
|
(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 = 427
1 u = 427 ÷ 7 = 61
(a)
Number of children
= 6 u
= 6 x 61
= 366
(b)
Number of girls = 1 p
Number of boys = 1 p + 160
1 p + 1 p + 160 = 366
2 p + 160 = 366
2 p = 366 - 160
2 p = 206
1 p = 206 ÷ 2 = 103
Number of girls
= 1 p
= 103
(c)
Number of boys
= 1 p + 160
= 103 + 160
= 263
Answer(s): (a) 366; (b) 103; (c) 263
