SOLUTION: Samantha lent her brother some money at 9% simple interest and her sister one-half as much money at 16% simple interest. If she received a total of $34 in interest after one year,

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Question 1123158: Samantha lent her brother some money at 9% simple interest and her sister one-half as much money at 16% simple interest. If she received a total of $34 in interest after one year, then how much did she lend to each one? Use simple interest formula Prt=I.
Answer by ikleyn(52805) About Me  (Show Source):
You can put this solution on YOUR website!
.
The "interest amount" equation  is


0.09*x + 0.16*(0.5x) = 34   dollars,


where x the amount she lent to her brother.


Solve for x. Then evaluate 0.5x.