SOLUTION: Deep Thought Granola is 25% nuts and dried fruit. Oat Dream Granola is 10% nuts and dried fruit. How much of Deep Thought and how much of Oat Dream should be mixed to form a 20-lb

Question 575774: Deep Thought Granola is 25% nuts and dried fruit. Oat Dream Granola is 10% nuts and dried fruit. How much of Deep Thought and how much of Oat Dream should be mixed to form a 20-lb batch of granola that is 19% nuts and dried fruit?
*I would like to know how to solve the problem step-by-step please. Thank you in advance.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Deep Thought Granola is 25% nuts and dried fruit. Oat Dream Granola is 10% nuts and dried fruit. How much of Deep Thought 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 to be mixed
20-x=lbs of Oat Dream Granola to be mixed
..
25%x+10%(20-x)=19%*20
.25x+2-.1x=3.8
.15x=1.8
x=1.8/.15=12
20-x=8
ans:
lbs of Deep Thought Granola to be mixed=12
lbs of Oat Dream Granola to be mixed=8
RELATED QUESTIONS
Blending Granola. Deep Thought Granola is 25% nuts and dried fruit. Oat Dream Granola is... (answered by lwsshak3)

I need the full work for this problem spelled out. Deep Thought Granola is 25% nuts (answered by RAY100)

Deep thought granola is 25% nuts and dries fruit. Oat Dream Granola is 10% nuts and dried (answered by alicealc,stanbon)

Brand A granola is 25% nuts and dried fruit and brand B granola is 20% nuts and dried... (answered by TimothyLamb)

A scout troop will prepare trail mix for their next hike. They have decided to mix one... (answered by fractalier)

Bob bought 2 pounds of trail mix, 1.5 pounds of mixed nuts, and 3 pounds of dried fruit... (answered by stanbon)

A mixture of dried fruit and nuts sells for $4.30 per pound. Separately, the dried fruit... (answered by josgarithmetic)

A health-food store sells trail mix made with granola and dried fruit. Th e store buys... (answered by josgarithmetic)

Nature's Best wants to combine nuts they sell for $3.60 a pound with dried fruit they... (answered by stanbon)