At a race, ¹₄ of the number of girls is equal to ²₅ of the number of boys. The number of adults at the race is four times the number of children. The number of coupons given to each adult, girl and boy at the race is 7, 6 and 5 respectively. The total number of coupons given at the race is 3496.

1. What is the total number of coupons given to the adults?
2. What is the number of boys at the race?

(a)
Make the numerators the same.
¹₄ of the girls = ²₅ of the boys
²₈ of the girls = ²₅ of the boys

	Girls	Boys	Adults
Number	8 u	5 u	52 u
Value	6	5	7
Total value	48 u	25 u	364 u

Number of children
= 8 u + 5 u
= 13 u

Number of adults
= 4 x 13 u 
= 52 u

Total number of coupons given at the race
= 48 u + 25 u + 364 u
= 437 u

437 u = 3496

1 u = 3496 ÷ 437 = 8

Total number of coupons given to adults
= 364 u
= 364 x 8
= 2912

(b)
Number of boys in the race
= 5 u
= 5 x 8
= 40

Answer(s): (a) 2912; (b) 40