Ratio of number of girls and boys in orphanage A is 8:7 respectively. If number of boys in orphanage C is 60% of the boys in orphanage
A. Find the number of girls in orphanage
C.

Solution

Number of children in orphanage A = 15% of 500 = 75 Number of children in orphanage C = 20% of 500 = 100 Number of children in orphanage D = 10% of 500 = 50 According to the question, => 75 + 4x + 100 + 50 + x = 500 => 5x = 500 – 225 => x = 55 Number of children in orphanage E = x = 55 Number of children in orphanage B = 4x = 4 × 55 = 220 Number of boys in orphanage A = (7/15) × 75 = 35 Number of boys in orphanage C = (60/100) × 35 = 21 Number of girls in orphanage C = 100 – 21 = 79