At a race,
45 of the number of men is equal to
34 of the number of women. The number of children at the race is four times the number of adults. The number of coupons given to each child, man and woman at the race is 4, 3 and 2 respectively. The total number of coupons given at the race is 4584.
- What is the total number of coupons given to the children?
- What is the number of women at the race?
(a)
Make the numerators the same.
45 of the men =
34 of the women
1215 of the men =
1216 of the women
|
Men |
Women |
Children |
Number |
15 u |
16 u |
124 u |
Value |
3 |
2 |
4 |
Total value |
45 u |
32 u |
496 u |
Number of adults
= 15 u + 16 u
= 31 u
Number of children
= 4 x 31 u
= 124 u
Total number of coupons given at the race
= 45 u + 32 u + 496 u
= 573 u
573 u = 4584
1 u = 4584 ÷ 573 = 8
Total number of coupons given to children
= 496 u
= 496 x 8
= 3968
(b)
Number of women in the race
= 16 u
= 16 x 8
= 128
Answer(s): (a) 3968; (b) 128