Question 1192996
<br>
The amounts invested at 9%, 10%, and 11% were x, 2x, and 3x, respectively.<br>
So 1/6 of the total was invested at 9%; 2/6 = 1/3 at 10%, and 3/6 = 1/2 at 11%.<br>
The average percent return on the investment was {{{(9(1)+10(2)+11(3))/(1+2+3)}}}, or 10 1/3%.  As a fraction that percentage is {{{(10+1/3)/100 = (31/3)/100 =31/300}}}<br>
27,900 return at a rate of 10 1/3% means the amount invested was {{{27900/(31/300)=27900(300/31)=(27900/31)*300=900*300=270000}}}<br>
ANSWERS:
1/6 of Php270,000 = Php45,000 at 9%
1/3 of Php270,000 = Php90,000 at 10%
1/2 of Php270,000 = Php135,000 at 11%<br>
CHECK:
.09(45000)+.10(90000)+.11(135000)=4050+9000+14850=27900<br>