Su Li has 13 kg of almonds costing $5 per kilogram. How many kilograms of cashews costing $12 per kg should be added to get a mixture of the two nut types costing $7.45 per kg?

Answer 1

13(5) + (x)(12) = (13+x)(7.45) = 7.45x + 96.85

12x -7.45x = 96.85 -65 = 31.85

x = 31.85/4.55) = 7 kg of $12 cashews

5 is within 2.45 of 7.45

12 is within 4.55 of 7.45

you need 455/245 = 91/49 = 13/7 times as much 5 as 12

you need nearly twice as much kg of the nuts that are closer to the $7.45 mixture price