SOLUTION: I need the full work for this problem spelled out. Deep Thought Granola is 25% nuts and dried fruit. Oat Dream Granola is 10% nuts and dried fruit. How much of Deep Thou

Question 209137: I need the full work for this problem spelled out.

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?
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
Let a = wt of 25%,,,and b=wt of 10 %
.
a+b=20#,,,,,b=20-a
.
.25a +.1b = .19*20 = 3.8,,,,,subst
.
.25a +.1(20-a) =3.8
.
.25a +2 -.1a = 3.8
.
.15a = 1.8
.
a=1.8/.15 = 12,,,,,b=20-12=8
.
.
check,,,.25(12) +.1(8) = 3.8,,,,,,3+.8=3.8,,,,,ok
.
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