ratios

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ratios

by tj123 » Fri Dec 26, 2008 1:32 am
ratio of bars for Greg and John is 5:3 respectively. Greg gave John 10 bars and the new ratio became 7:5? How many more bars does greg have than John?

A)20
B)30
C)40
D)50
E)60

Answer is C

Please expalin in detail
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by vishubn » Fri Dec 26, 2008 1:43 am
g/j=5/3

after exchanging bars

g-10/j+10=7:5

5(g-10)=7(j+10)

5g-10=7j+70

5g-7j=120
5g=25j/3

but g=5j/3---- so we are taking the intial value !!

ie

25j/3-7j=120
solving we get

4j/3=120

j=90 bars

So g/j=5/3

we get g=150 bars

rem we too kthe intial value and not the changed ratio

sooo g=140 and j=100

differnce is 40 bars

Vishu
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