SOLUTION: Nature's Best wants to combine nuts they sell for $3.60 a pound with dried fruit they sell for $2.40 a pound to create a trail mix. How much of each snack should they use to make
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Question 108543This question is from textbook Algebra 1
: Nature's Best wants to combine nuts they sell for $3.60 a pound with dried fruit they sell for $2.40 a pound to create a trail mix. How much of each snack should they use to make 10 pounds of trail mix that would sell for $3.30 a pound?
We know the answer is 7.5 pounds of nuts and 2.5 pounds of dried fruit but we cannot come up with the algebraic equation to solve it. Thanks!
This question is from textbook Algebra 1
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Nature's Best wants to combine nuts they sell for $3.60 a pound with dried fruit they sell for $2.40 a pound to create a trail mix. How much of each snack should they use to make 10 pounds of trail mix that would sell for $3.30 a pound?
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Let amt. of nuts be "x" lbs ; value is 3.60x dollars
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Amt of fruit is "10-x" lbs ; value is 2.4(10-x) = 24-2.4x dollars
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Amt of mix is 10 lbs ; value is 3.3*10= 33 dollars
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EQUATION:
value + value = 33 dollars
3.6x + 24-2.4x = 33
1.2x = 9
x = 7.5 lbs (amt of nuts in the mix)
10-x = 2.5 lbs (amt of fruit in the mix)
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Cheers,
Stan H>
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