SOLUTION: Sonya deposited two-thirds of her end-of-the-year bonus at 5% simple interest in a certificate of deposit. She deposited one-sixth of the bonus in a savings account bearing simple

Algebra ->  Finance -> SOLUTION: Sonya deposited two-thirds of her end-of-the-year bonus at 5% simple interest in a certificate of deposit. She deposited one-sixth of the bonus in a savings account bearing simple       Log On


   



Question 984841: Sonya deposited two-thirds of her end-of-the-year bonus at 5% simple interest in a certificate of deposit. She deposited one-sixth of the bonus in a savings account bearing simple interest at 2%. If Sonya's total interest income was $231 for the year, how much was her bonus? I really need help

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the amount of her bonus in dollars
+%282%2F3%29%2Ax+ = amount deposited in 5% CD
+%281%2F6%29%2Ax+ = amount deposited in 2% savings account
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Find the interest income from both deposits
+.05%2A%282%2F3%29%2Ax+%2B+.02%2A%281%2F6%29%2Ax+=+231+
Multiply both sides by +6+
+.2x+%2B+.02x+=+1386+
+.22x+=+1386+
+x+=+6300+
The amount of her bonus was $6,300
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check answer:
+.05%2A%282%2F3%29%2A6300+%2B+.02%2A%281%2F6%29%2A6300+=+231+
+.1%2A2100+%2B+.01%2A2100+=+231+
+2100%2A.11+=+231+
+231+=+231+
OK