SOLUTION: Deep thought granola is 25% nuts and dries fruit. Oat Dream Granola is 10% nuts and dried fruit. How much of deep thought and how uch of oat dream should be mixed to form a 20-lb b
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Question 309711: Deep thought granola is 25% nuts and dries fruit. Oat Dream Granola is 10% nuts and dried fruit. How much of deep thought and how uch of oat dream should be mixed to form a 20-lb batch of granola that is 19%nuts and dried fruit? Please show work.Thanks Found 2 solutions by alicealc, stanbon:Answer by alicealc(293) (Show Source):
You can put this solution on YOUR website! Deep thought Granola = x lb
-> nuts = 25/100 * x = 0.25x
Oat Dream Granola = y lb
-> nuts = 10/100 * y = 0.1y
(1) x + y = 20
(2) 0.25x + 0.1y = 0.19 * 20
-> 0.25x + 0.1y = 3.8
multiply equation (1) by 0.25:
(1) 0.25x + 0.25y = 5
(2) 0.25x + 0.1 y = 3.8
------------------------ (-)
0.15y = 1.2
y = 1.2/0.15 = 120/15 = 8
x + y = 20
x + 8 = 20
x = 20 - 8
x = 12
so, deep thought granola needed = 12 lb
oat dream granola needed = 8 lb
You can put this solution on YOUR website! Deep thought granola is 25% nuts and dries 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?
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Equation:
0.25D + 0.10(20-D)) = 0.19*20
------------------
Multiply thru by 100 to get:
25D + 10*20 - 10D = 19*20
15D = 9*20
D = 4 lb (amt of 25% needed in the mix)
Since D + G = 20, G = 16 lb (amt of 10% needed in the mix)
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Cheers,
Stan H.
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