# Initially, 60% of all attendees in a school party were girls. A while later, with 8 girls and 12 boys gone...

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Initially, 60% of all attendees in a school party were girls. A while later, with 8 girls and 12 boys gone, the number of girls became twice as many as the number of boys.
How many people were present initially?

posted Feb 21, 2018

60:40 = Girl:Boy = 3:2. Total Girls = 3x and Total Boys = 2x
Total attendees = 5x
After 8 girls and 12 boys left The new ratio is Girl:Boy = 2y:1y
Total attendees => 3y = 5x - 20
2y = 3x - 8 ---- 1
y = 2x - 12 ----- 2
2*(2) - 1
0 = x - 16
x = 16
Therefore initially there were 3x16 = 48 Girls & 2x16 = 32 Boys

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