Question 1180955
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(1) A usual typical algebraic setup....<br>
x pounds at Php 32.50 per pound, plus (30-x) pounds at Php 47.50 per pound, equals 30 pounds at Php 37.50 per pound:<br>
{{{32.50(x)+47.50(30-x)=37.50(30)}}}<br>
Solve using basic algebra; I leave that to you.<br>
(2) A quick and easy informal way to solve any mixture problem like this, if a formal algebraic solution is not required....<br>
Consider the three prices on a number line: 32.50, 37.50, and 47.50.<br>
Observe (or calculate) that 37.50 is 1/3 of the way from 32.50 to 47.50.  (32.50 to 47.50 is a difference of 15; 32.50 to 37.50 is a difference of 5; 5/15 = 1/3).<br>
That means 1/3 of the mixture is the more expensive coffee.<br>
ANSWER: 1/3 of 30 pounds, or 10 pounds, of the Batangas coffee; the other 20 pounds of the foreign brand.<br>
CHECK:
10(47.50)+20(32.50)= 475+650=1125
30(37.50)=1125<br>