Question 394257: To buy both a new car and a new house, Tina sought two loans totalling $44,980. The simple interest rate on the first loan was 1.8%, while the simple interest rate on the second loan was 1.2%. At the end of the first year, Tina paid a combined interest payment of $679.64. What were the amounts of the two loans?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! To buy both a new car and a new house, Tina sought two loans totaling $44,980. The simple interest rate on the first loan was 1.8%, while the simple interest rate on the second loan was 1.2%. At the end of the first year, Tina paid a combined interest payment of $679.64. What were the amounts of the two loans?
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Equations:
Quantity :: x + y = 44900
Interest :0.018x+0.012y = 679.64
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Multiply thru the quantity Eq. by 18
Multiply thru the interest Eq. by 1000
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18x + 18y = 18*44900
18x + 12y = 679640
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Subtract and solve for "y":
6y = 128560
y = 21426.67 (amt. of 1.2% loan)
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Solve for "x":
x + y = 44900
x + 21426.67 = 44900
x = 23473.33 (amt. of 1.8% loan)
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Cheers,
Stan H.
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