Question 1158768
<br>
A quick solution method, without algebra....<br>
(1) Find where 2.21 lies between 1.49 and 2.69:
2.69-1.49 = 1.20
2.21-1.49 = 0.72
0.72/1.20 = 0.6 = 3/5<br>
(2) 2.21 is 3/5 of the way from 1.49 to 2.69; that means 3/5 of the mixture needs to be the more expensive ingredient.<br>
(3) 3/5 of 100 pounds is 60 pounds.<br>
ANSWER: 60 pounds of walnuts; 40 pounds of peanuts<br>
CHECK:
60(2.69)+40(1.49) = 161.40+59.60 = 221
100(2.21) = 221<br>