SOLUTION: A bag of peanuts is worth $0.26 less than a bag of cashews. Equal amounts of peanuts and cashews are used to make 44 bags of a mixture that sells for $1.30 per bag. How much is a b

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Question 744142: A bag of peanuts is worth $0.26 less than a bag of cashews. Equal amounts of peanuts and cashews are used to make 44 bags of a mixture that sells for $1.30 per bag. How much is a bag of cashews worth?
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
x = price in dollars per bag for cashews.
n = amount of bags of each of the two type of nuts to make the 44 bags

1 bag peanuts = x-0.26 dollars per bag
1 bag cashews = x dollars per bag.

Accounting for bags of nuts, , but this will be found not very important in the solution.

Accounting for price or cost,
dollars per bag, the mixture.
THAT IS most of the way toward the whole solution. Note clearly what happens as you take further steps:

, and because ,

and you can finish finding the value for x.


x=1.17 dollars per bag.

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