At a race,
14 of the number of boys is equal to
23 of the number of girls. The number of adults at the race is five times the number of children. The number of coupons given to each adult, boy and girl at the race is 7, 6 and 5 respectively. The total number of coupons given at the race is 3584.
- What is the total number of coupons given to the adults?
- What is the number of girls at the race?
(a)
Make the numerators the same.
14 of the boys =
23 of the girls
28 of the boys =
23 of the girls
|
Boys |
Girls |
Adults |
Number |
8 u |
3 u |
55 u |
Value |
6 |
5 |
7 |
Total value |
48 u |
15 u |
385 u |
Number of children
= 8 u + 3 u
= 11 u
Number of adults
= 5 x 11 u
= 55 u
Total number of coupons given at the race
= 48 u + 15 u + 385 u
= 448 u
448 u = 3584
1 u = 3584 ÷ 448 = 8
Total number of coupons given to adults
= 385 u
= 385 x 8
= 3080
(b)
Number of girls in the race
= 3 u
= 3 x 8
= 24
Answer(s): (a) 3080; (b) 24