Question 1102933
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The method of alligation will get you to the answer fastest.  It looks like this for your problem:<br>
{{{matrix(3,3,1.70,"",.75,"",1.55,"",.80,"",.15)}}}<br>
The numbers in the first column are the price per pound of the grain and meal; the number in the middle column is the price per pound of the mixture.<br>
The numbers in the third column are the differences, computed diagonally, between the numbers in the first and second columns: 1.70-1.55 = .15; 1.55-.80 = .75.<br>
The method of alligation says the grain and meal must be mixed in the ratio shown by the numbers in the third column.  That ratio is .75:.15 = 5:1.<br>
So the grain and meal need to be mixed in the ratio 5:1.  Since there are 500 lb of the grain, you need 100 lb of the meal.