Question 1142163
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Try this for an easier and faster way to solve "mixture" problems like this.<br>
(1) 1.30 is 4/7 of the way from 0.90 to 1.60. (0.90 to 1.60 is .70; 0.90 to 1.30 is .40; .40/.70 = 4/7)
(2) Therefore 4/7 of the mixture must be the more expensive nuts.<br>
ANSWER: 4/7 of 175 pounds = 100 pounds of the $1.60 per pound nuts; the rest, 75 pounds, of the $0.90 per pound nuts.<br>
The idea behind this method is that the ratio in which the two ingredients must be mixed is exactly determined (in a linear fashion) by where the target price per pound lies between the per pound prices of the two ingredients.