SOLUTION: George invested some money at 10% interest. George also invested $169 more than 4 times that amount at 15%. How much is invested at each rate if George receives $2427.05 in interes

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Question 996098: George invested some money at 10% interest. George also invested $169 more than 4 times that amount at 15%. How much is invested at each rate if George receives $2427.05 in interest after one year?
Answer by ikleyn(52776) About Me  (Show Source):
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George invested some money at 10% interest. George also invested $169 more than 4 times that amount at 15%. How much is invested at each rate if George receives $2427.05 in interest after one year?
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x*0.1 + (4x + 169)*0.15 = 2427.05.

0.1*x + 4*0.15*x + 169*0.15 = 2427.05,

0.1*x + 0.6*x + 25.35 = 2427.05,

0.7*x = 2427.05 - 25.35

0.7*x = 2401.70,

x = 2401.70%2F0.7 = 3431.

3431  at 10%   and   4*3431 + 169 = 13893  at 15%.