There are four times as many adults as children in a museum. There are 194 more women than men. If there are 690 people in the museum,
- 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 + 194 |
|
|
(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 = 690
1 u = 690 ÷ 5 = 138
(a)
Number of adults
= 4 u
= 4 x 138
= 552
(b)
Number of men = 1 p
Number of women = 1 p + 194
1 p + 1 p + 194 = 552
2 p + 194 = 552
2 p = 552 - 194
2 p = 358
1 p = 358 ÷ 2 = 179
Number of men
= 1 p
= 179
(c)
Number of women
= 1 p + 194
= 179 + 194
= 373
Answer(s): (a) 552; (b) 179; (c) 373
