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Question 1142538: A college student earned $5700 during summer vacation working as a waiter in a restaurant on the boardwalk at the beach. The student invested part of the money at 6% and the rest at 8%. If the student received a total of $382 in interest at the end of the year, how much was invested at 8%?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! college student earned $5700 during summer vacation working as a waiter in a restaurant on the boardwalk at the beach.
The student invested part of the money at 6% and the rest at 8%.
If the student received a total of $382 in interest at the end of the year, how much was invested at 8%?
:
let a = amt invested at 8%
the total is $5700, therefore
(5700-a) = amt invested at 6%
:
Int at 8% + int at 6% = $382
.08a + .06(5700-a) = 382
.08a + 342 - .06a = 382
.08a - .06a = 382 - 342
.02a = 40
a - 40/.02
a = $2000 invested at 8%
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Check:
.08(2000) + .06(5700-2000) =
160 + 222 = 382
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