After giving 25% of her stickers away

Question

After giving 25% of her stickers away, Mary had 50% as many stickers as Rose. If they had 200 stickers altogether at first, how many stickers did Rose have?

Answer 1

.75M = .5R  --> after giving away 25 percent, she only has 75 percent left of her original amount, and at this point, she only has 50 percent as much as rose.

 

R + M = 200

 

M = (.5/.75)R   -->rearranging first equation

 

Plug into second equation

 

R + (.5/.75)R = 200 

1.667R = 200 

R = 120

M = 200 - 120 = 80