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

设收入是I，save的比例是F，则明年会有I * F * (1+r)，这个值是 SPENDS的1/2，即1/2 * I*(1-F) 。 所以I * F * (1+r) = 1/2 * I*(1-F) => F = 1/(2r+3). 选E。