Samantha lent her brother some money at 9% simple interest and her sister one-half as much money at 16% interest. If she received a total of 34 cents in interest, then how much did she lend to each one?

Answer 1

$X @ 9% = Her bro. loan.
$X/2 @ 16% = Her sis. loan.

0.09x + 0.16(x/2) = 0.34
0.17x = 0.34
X = 0.34 / 0.17 = $2.00.
X/2 = 2.00 / 2 = $1.00.

Answer 2

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