SOLUTION: sara has 80000 to invest. she invests part a5 %. a fourth this amount at 6%, and the blance at 7%.Her total annual income from interest is 4700. FInd the amount invested at each ra

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: sara has 80000 to invest. she invests part a5 %. a fourth this amount at 6%, and the blance at 7%.Her total annual income from interest is 4700. FInd the amount invested at each ra      Log On

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Question 1204184: sara has 80000 to invest. she invests part a5 %. a fourth this amount at 6%, and the blance at 7%.Her total annual income from interest is 4700. FInd the amount invested at each rate
Answer by MathLover1(20849) About Me  (Show Source):
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sara has 80000 to invest

she invests x a 5 %
a %281%2F4%29x this amount at 6 %
and the blance at 80000+-%28x%2B%281%2F4%29x%29+ at +7 %
0.05x%2B0.06%2A%281%2F4%29x%2B0.07%2880000+-%28x%2B%281%2F4%29x%29%29=4700
x=40000

she invests 40000 a 5 %
a %281%2F4%2940000=10000 this amount at 6 %
and the balance at 80000+-%2840000%2B%281%2F4%2940000%29+=80000+-50000+=30000 at +7 %