Question 1161277
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A non-algebraic solution method....<br>
(1) find where the price per pound of the mixture lies between the cost of the raisins and the cost of the dried fruit.<br>
On a number line, 5.28 is 2/5 of the way from 4.20 to 6.90:<br>
4.20 to 6.90 is a difference of 2.70
4/20 to 5.28 is a difference of 1.08
1.08/2.70 = 2/5<br>
(2) That fraction is the fraction of the mixture that needs to be the more expensive ingredient.<br>
ANSWER: 2/5 of 10 pounds, or 4 pounds, of the dried fruit; the other 6 pounds is raisins.<br>
CHECK:
4(6.90)+6(4.20) = 27.60+25.20 = 52.80
10(5.28) = 52.80<br>