Ratio question

[gibran]

This year Henry will save a certain amount of his income, and he will spend the rest. Next year Henry will have no income, but for each dollar that he saves this year, he will have 1 + r dollars available to spend. In terms of r, what fraction of his income should Henry save this year so that next year the amount he was available to spend will be equal to half the amount that he spends this year?
A. 1 / r+2
B. 1 / 2r + 2
C. 1 / 3r + 2
D. 1 / r+3
E. 1 / 2r+3

[DWarrior]

I = his income
S = amount saved
then amount spent = (I-S)

his next year's amount available to spent will be S(1+r)

We're told that he wants: S(1+r)=(I-S)/2
And we're looking for S/I because that's the fraction of his income he should save

1+r=(I/S-1)/2
2+2r)=I/S-1
3+2r=I/S
S/I=1/(2r+3), E

[tarkumar]

E. 1 / 2r+3

[DMoney]

I = his income
S = amount saved
then amount spent = (I-S)

his next year's amount available to spent will be S(1+r)

We're told that he wants: S(1+r)=(I-S)/2
And we're looking for S/I because that's the fraction of his income he should save

1+r=(I/S-1)/2
2+2r)=I/S-1
3+2r=I/S
S/I=1/(2r+3), E

Nice approach.. I am curious.. Are you able to extract all pertinent info with ease? If so, how? In these wordy problems, I have issues drawing out all of useful goodness, and end up wasting tons of time using trial and error... Do you have a particular strategy that you like to deplore, or is it that you've done so many, you can just sort of sift through and draw it out... Any advice is appreciated.. thx.

[bose]

imo E

[RamN]

shud be E