一道GMAT数学题This year Henry will save a certain amount of hisincome,and he will spend the rest.Next year Henrywill have no income,but for each dollar that he savesthis year,he will have 1 + r dollars available to spend.In terms of r,what fraction of his income should Henrysave this year so that next year the amount he hasavailable to spend will be equal to half the amount thathe spends this year?for each dollar that he savesthis year,he will have 1 + r d

问题描述:

一道GMAT数学题
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 has
available to spend will be equal to half the amount that
he spends this year?
for each dollar that he saves
this year,he will have 1 + r dollars available to spend.
完全不懂这句话……求解!

设今年存了x花了y
则明年取出来x(1+r)
令x(1+r)=y/2则得出y=2x(1+r)
要求的fraction=x/x+y=x/x(2r+3)=1/2r+3