SOLUTION: At a certain party, first the ratio of boys to girls was five to three.If,after 10 boys left,the ratio became one to one, how many people were originally at the party ?Please show

Question 602812: At a certain party, first the ratio of boys to girls was five to three.If,after 10 boys left,the ratio became one to one, how many people were originally at the party ?Please show me the steps.
A.48 B.40 c.56 D.32 E. None of these
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
At a certain party, first the ratio of boys to girls was five to three.If,after 10 boys left,the ratio became one to one, how many people were originally at the party ?Please show me the steps.
A.48 B.40 c.56 D.32 E. None of these
**
let b=boys
let g=girls
..
first:
b/g=5/3
3b=5g
3b-5g=0
..
later:
(b-10)/g=1
b-10=g
b-g=10
..
3b-5g=0
3b-3g=30
subtract
2g=30
g=15
b=10+g=25
b+g=40 people
..
ans:
people originally at the party=40 (ans B)

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