Anglo Chinese School 2007 PSLE Math Prelim Q47

In an auditorium, the ratio of the number of competitors to the number of non-competitors is 8:5. The ratio of the number of male competitors to the number of female competitors is 7:4. Given that 3/5 of the non-competitors are males and there are 32 female competitors, how many males and females are there in the auditorium?

Solution



Males ----- 56 + 33 = 89
Females ----- 32 + 22 = 54

Answer: 89 males, 54 females