document.write( "Question 1173936: please help me solve this problem: peter invested P300000.00 with 15% return in an electronic shop and 8% return in real estate. his annual income from his investments is P40000.00. how much did he invest in the electronics shop? \n" ); document.write( "
Algebra.Com's Answer #799301 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "Here is a non-algebraic way to solve any two-part mixture problem like this.

\n" ); document.write( "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.

\n" ); document.write( "(1) P40,000 return on an investment of P300,000 is a rate of 40,000/300,000 = 4/30 = 13 1/3%.
\n" ); document.write( "(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%.
\n" ); document.write( "(3) That means 16/21 of the investment was at the higher rate, so 5/21 was at the lower rate.

\n" ); document.write( "ANSWER: 16/21 of the total P300,000, or P228,571 (rounded) was invested in the electronics shop.

\n" ); document.write( "Note that, technically, the problem can't be solved with the exact given information, since that information produces answers that are not whole numbers....

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