SOLUTION: brent lent his brother bob some money at 8% simple interest and he lent his sister betty half as much money at twice the interest rate. both loans were for one year. if brent made

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Question 944790: brent lent his brother bob some money at 8% simple interest and he lent his sister betty half as much money at twice the interest rate. both loans were for one year. if brent made a total of 24 cents in interest then how much did he lend to each one
Answer by stanbon(75887) About Me  (Show Source):
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brent lent his brother bob some money at 8% simple interest and he lent his sister betty half as much money at twice the interest rate. both loans were for one year. if brent made a total of 24 cents in interest then how much did he lend to each one
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Interest + Interest = Interest
0.08x + 0.16(x/2) = 0.24 dollars
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8x + 8x = 24
16x = 24
x = 3/2 = $1.50 (amt. leant to bob)
x/2 = 3/4 = $0.75 (amt. leant to sister)
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Check::
0.08*1.5 + 0.16(0.75) = 0.24 dollars = 24 cents
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Chgeers,
Stan H.
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