SOLUTION: Select the set of equations that represents the following situation: Mary invested one amount at 1% simple interest, and a second amount at 6% interest, earning $17.68 in one yea

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Question 599426: Select the set of equations that represents the following situation: Mary invested one amount at 1% simple interest, and a second amount at 6% interest, earning $17.68 in one year. If she had switched the amounts, she would have earned $14.04. What were the two amounts

0.01x + 0.06y = 14.04; 0.01x + 0.06y = 17.68
0.01x + 0.06y = 17.68; 0.01y + 0.06x = 14.04
x + 6y = 17.68; y + 6x = 14.04
x + 6y = 14.04; x + 6y = 17.68
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = dollars invested @ 1%
Let +b+ = dollars invested @ 6%
+.01a+%2B+.06b+=+17.68+
+.01b+%2B+.06a+=+14.04+
and
+a+%2B+6b+=+1768+
+b+%2B+6a+=+1404+
and
(1) +a+%2B+6b+=+1768+
(2) +6a+%2B+b+=+1404+
Multiply both sides of (2) by +6+
and subtract (1) from (2)
(2) +36a+%2B+6b+=+8424+
(1) +-a+-+6b+=+-1768+
+35a+=+6656+
+a+=+190.1714+
and
(2) +6%2A190.1714+%2B+b+=+1404+
(2) +1141.0285+%2B+b+=+1404+
(2) +b+=+262.9715+
Mary invested $190.17 @ 1% and
$262.97 @ 6%