Question 1173936
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Here is a non-algebraic way to solve any two-part mixture problem like this.<br>
The fraction of the mixture that is each investment is determined by where the average return rate lies between the return rates of the two investments.<br>
(1) P40,000 return on an investment of P300,000 is a rate of 40,000/300,000 = 4/30 = 13 1/3%.
(2) Consider the three percentages 8, 13 1/3, and 15 on a number line.  Perform calculations to find that the 13 1/3% is (5 1/3)/7 = 16/21 of the way from 8% to 15%.
(3) That means 16/21 of the investment was at the higher rate, so 5/21 was at the lower rate.<br>
ANSWER: 16/21 of the total P300,000, or P228,571 (rounded) was invested in the electronics shop.<br>
Note that, technically, the problem can't be solved with the exact given information, since that information produces answers that are not whole numbers....<br>