Question 1186987
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Here is a quick and easy way to solve any 2-part "mixture" problem like this if a formal algebraic solution is not required.<br>
(1) P380 income from an investment of P10,000 is a rate of 3.8%; the two interest rates are 3.5% and 4%.
(2) 3.8% is 3/5 of the way from 3.5% to 4% (use a number line to see this, if it helps).
(3) That means 3/5 of the total was invested at the higher rate.<br>
3/5 of P10,000 is P6000.<br>
ANSWER: P6000 at 4%; the other P4000 at 3.5%<br>
CHECK: .04(6000)+.035(4000) = 240+140 = 380<br>