SOLUTION: Kira invested her savings in two investment funds. The amount she invested in Fund A was twice as much as the amount she invested in Fund B. Fund A returned a 8% profit and Fund B

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Question 1030065: Kira invested her savings in two investment funds. The amount she invested in Fund A was twice as much as the amount she invested in Fund B. Fund A returned a 8% profit and Fund B returned a 5% profit. How much did she invest in Fund B, if the total profit from the two funds together was $2520?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = amount invested in fund A
Let +b+ = amount invested in fund B
+.08a+ = profit from fund A
+.05b+ = profit from fund B
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(1) +a+=+2b+
(2) +.08a+%2B+.05b+=+2520+
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(2) +8a+%2B+5b+=+252000+
Substitute (1) into (2)
(2) +8%2A2b+%2B+5b+=+252000+
(2) +21b+=+252000+
(2) +b+=+12000+
and
(1) +a+=+2b+
(1) +a+=+2%2A12000+
(1) +a+=+24000+
-------------------
She invested $12,000 in fund B
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check:
(2) +.08a+%2B+.05b+=+2520+
(2) +.08%2A24000+%2B+.05%2A12000+=+2520+
(2) +1920+%2B+600+=+2520+
(2) +2520+=+2520+
OK