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) About Me  (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, n%2Bn=44, but this will be found not very important in the solution.

Accounting for price or cost,
%28%28x-0.26%29%2An%2Bx%2An%29%2F%282n%29=1.30 dollars per bag, the mixture.
THAT IS most of the way toward the whole solution. Note clearly what happens as you take further steps:

%28%28%28x-0.26%29%2Bx%29%2F2%29%2A%28n%2Fn%29=1.30, and because n%2Fn=1,
%28x-0.26%2Bx%29%2F2=1.30
and you can finish finding the value for x.


x=1.17 dollars per bag.