SOLUTION: .need equation so I can solve the problem math problem ?Arlene invested $29,000 for one year,part at 9% and part at 10%.If she earned a total interest of $2,760,how much was in

Question 664145: .need equation so I can solve the problem
math problem
?Arlene invested $29,000 for one year,part at 9% and part at 10%.If she earned a total interest of $2,760,how much was invested at each rate?
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
Define variables
x = $ at 9%
y = $ at 10%
...
Given
x + y = $29000, which is the same as x = 29000-y
.09x + .1y = 2760
...
Substitute x into the second equation
.09(29000-y) + .1y = 2760
Distribute the .09
2610 - .09y + .1y = 2760
Combine like terms
.01y = 2760 - 2610
.01y = 150
y = 15,000 at 10%
x = 29000-15000= $14,000 at .09%
...
check
.09(14000)+.1(15000)= 1260 + 1500 = 2760
.........................
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