SOLUTION: Blending Granola. Deep Thought Granola is 25% nuts and dried fruit. Oat Dream Granola is 10% nuts and dried fruit. How much of Deep Though and how much of Oat Dream should be mixed

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Question 422757: Blending Granola. Deep Thought Granola is 25% nuts and dried fruit. Oat Dream Granola is 10% nuts and dried fruit. How much of Deep Though and how much of Oat Dream should be mixed to form a 20 lb. batch of granola that is 19% nuts and dried fruit?

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Blending Granola. Deep Thought Granola is 25% nuts and dried fruit. Oat Dream Granola is 10% nuts and dried fruit. How much of Deep Though and how much of Oat Dream should be mixed to form a 20 lb. batch of granola that is 19% nuts and dried fruit?
..
let x=lbs of Deep Thought Granola
20-x=lbs of Oat Dream Granola
..
.25x+.10(20-x)=.19(20)
.25x+2-.1x)=3.8
.15x=1.8
x=1.8/.15=12 lbs
ans:
12 lbs of Deep Thought Granola and
8 lbs of Oat Dream Granola should be
mixed to form a 20 lb. batch of granola that is 19% nuts and dried fruit?