SOLUTION: A bank loaned out ​$16 comma 000 ​, part of it at the rate of 7 % per year and the rest at 17 % per year. If the interest received in one year totaled ​$2

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: A bank loaned out ​$16 comma 000 ​, part of it at the rate of 7 % per year and the rest at 17 % per year. If the interest received in one year totaled ​$2      Log On

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Question 1038477: A bank loaned out
​$16 comma 000
​,
part of it at the rate of
7 %
per year and the rest at
17 %
per year. If the interest received in one year totaled
​$2000
​,
how much was loaned at 7 % question mark

Found 2 solutions by addingup, josmiceli:
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
0.07x+0.17(16,000-x) = 2,000
0.07x+2,720-0.17x = 2,000
-0.10x = -720 Divide both sides by 0.10 and remember -/- = +
x = 7,200 was loaned at 7%

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the amount loaned at 7%
Let +y+ = the amount loaned at 17%
---------------------------------
(1) +.07x+%2B+.17y+=+2000+
(2) +x+%2B+y+=+16000+
--------------------------
(1) +7x+%2B+17y+=+200000+
Multiply both sides of (2) by +7+ and
subtract (2) from (1)
(1) +7x+%2B+17y+=+200000+
(2) +-7x+-+7y+=+-112000+
---------------------------
+10y+=+88000+
+y+=+8800+
and
(2) +x+%2B+y+=+16000+
(2) +x+%2B+8800+=+16000+
(2) +x+=+7200+
-------------------
$7,200 was loaned at 7%
--------------------------
check:
(1) +.07x+%2B+.17y+=+2000+
(1) +.07%2A7200+%2B+.17%2A8800+=+2000+
(1) +504+%2B+1496+=+2000+
(1) +2000+=+2000+
OK