Asked by RS

Charis and shermin are given money each. If Charis and shermin spend $60 and $30 each day respectively. Charis will still have $600 when Shermin has spent all her money. If Charis and Shermin spend $30 and $60 each day respectively. Charis will still have $1500 when Shermin has spent all her money. How much money is given to each girl?
Answered by Steve
If the time periods are a and b days, respectively,

600+60a = 1500+30b
30a = 60b

a=20 b=10
So

Charis had 1800
Shermin had 600

check:
1800-20*60 = 600
1800-10*30 = 1500

600-20*30 = 0
600-10*60 = 0
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