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

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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) About Me  (Show Source):
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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)