Brand A granola is 25​% nuts and dried fruit and brand B granola is 20​% nuts and dried fruit. How much of A and B should be mixed to form a 20-lb batch of sweets that is 23​% nuts and dried​ fruit?

Question

Brand A granola is

25​%

nuts and dried fruit and brand B granola is

20​%

nuts and dried fruit. How much of sweet item A and sweet item B should be mixed to form a

20-lb

batch of sweets that is

23​%

nuts and dried​ fruit?

Answer 1

25A + 20B = 23(20)

A=20-B

25(20-B) + 20B = 460

500 -25B + 20B = 460

5B =40

B = 40/5 = 8 pounds of B

A= 20-B = 12 pounds of A

.25(12)+ .20(8)= 3 + 1.6 = 4.6 = .23(20)

.25 is within .2 of .23

.20 is within 3 of .23

.3/.2 = 1.5 = 12/8