SOLUTION: sue had $10000 to invest. she invested part of it in a term deposit paying 4% per annum and the remainder in bonds paying 5% per annum. if the total interest she earned was $440, h

Question 950921: sue had $10000 to invest. she invested part of it in a term deposit paying 4% per annum and the remainder in bonds paying 5% per annum. if the total interest she earned was $440, how much did she invest at each rate?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
x=amount invested at 4%; y=amount invested at 5%
x+y=$10000
x-$10000-y
0.04x+0.05y=$440 Substitute for x
0.04($10000-y)+0.05y=$440
$400-0.04y+0.05y=$440 Subtract $400 from each side.
0.01y=$40 Divide each side by 0.01.
y=$4000 ANSWER 1: $4000 was invested at 5%.
x=$10000-$4000=$6000 ANSWER 2: $6000 was invested at 4%.
CHECK:
0.04x+0.05y=$440
0.04($6000)+0.05($4000)=$440
$240+$200=$440
$440=$440

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