There are six times as many adults as children in a zoo. There are 186 more men than women. If there are 525 people in the zoo,
- how many adults are there?
- how many women are there?
- how many men are there?
| Adults |
Children |
Total |
| 6 u |
1 u |
7 u |
| Women |
Men |
|
|
| 1 p |
1 p + 186 |
|
|
(a)
Number of children = 1 u
Number of adults = 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 adults
= 6 u
= 6 x 75
= 450
(b)
Number of women = 1 p
Number of men = 1 p + 186
1 p + 1 p + 186 = 450
2 p + 186 = 450
2 p = 450 - 186
2 p = 264
1 p = 264 ÷ 2 = 132
Number of women
= 1 p
= 132
(c)
Number of men
= 1 p + 186
= 132 + 186
= 318
Answer(s): (a) 450; (b) 132; (c) 318
