There are four times as many adults as children in a zoo. There are 184 more women than men. If there are 385 people in the zoo,
- how many adults are there?
- how many men are there?
- how many women are there?
Adults |
Children |
Total |
4 u |
1 u |
5 u |
Men |
Women |
|
|
1 p |
1 p + 184 |
|
|
(a)
Number of children = 1 u
Number of adults = 4 x 1 u = 4 u
Total number of people
= 4 u + 1 u
= 5 u
5 u = 385
1 u = 385 ÷ 5 = 77
(a)
Number of adults
= 4 u
= 4 x 77
= 308
(b)
Number of men = 1 p
Number of women = 1 p + 184
1 p + 1 p + 184 = 308
2 p + 184 = 308
2 p = 308 - 184
2 p = 124
1 p = 124 ÷ 2 = 62
Number of men
= 1 p
= 62
(c)
Number of women
= 1 p + 184
= 62 + 184
= 246
Answer(s): (a) 308; (b) 62; (c) 246