Amy invested $5000 in two different accounts, one paying 7.5% and the other paying 10%?

Question

If the annual interest is $475, how much did she invest at 10%?

Answer 1

If Amy had invested the whoe amount at 10% she would have recd an annual interest amounting to $500
But she receives $25 less
This is because she invested part of the money at a 2.5% less interestI.e for every $100 invested she gets $2.5 less anually
The amount invested at 7.5% or 2.5% less is (25/2.5)*100=$1000

Answer 2

$4000 was invested @ 10%

this yielded $400 and $1000 was invested @ 7.5% for $75.


to figure it out quickly use ratios....
all @ 10% would be $500 and all at 7.5% would be $375

since interest totalled $475, 475 is 80% of the way between 375 and 500 (100 out of 125), so take 80% of the total $5000 invested, or $4000. The rest was invested @7.5 %

Answer 3

x*.075+(5000-x)*.1=475
-.025x=-25
x=1000 @7.5%
4000@10%