SOLUTION: A bag of peanuts is worth $0.20 less than a bag of cashews. Equal amounts of peanuts and cashews are used to make 34 bags of a mixture that sells for $1.10 per bag. How much is a b

Algebra ->  Expressions-with-variables -> SOLUTION: A bag of peanuts is worth $0.20 less than a bag of cashews. Equal amounts of peanuts and cashews are used to make 34 bags of a mixture that sells for $1.10 per bag. How much is a b      Log On


   

Question 978683: A bag of peanuts is worth $0.20 less than a bag of cashews. Equal amounts of peanuts and cashews are used to make 34 bags of a mixture that sells for $1.10 per bag. How much is a bag of cashews worth?
Found 2 solutions by richwmiller, josgarithmetic:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
17*p+17*c=34*1.10
c=p+.20
17*p+17*(p+.20)=37.4
17*p+17*p+3.4=37.4
34p=34
p=$1
c=$1.20



Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Cashews Price, r in dollars per bag
Peanuts Price, r-0.2 dollars per bag

Equal Amounts means that the 34 bags are the same as 17 bags of peanuts and 17 bags of cashews.

17%2Ar%2B17%2A%28r-0.2%29=1.10%2834%29, equating costs for the two ways of describing the 34 bags. Left member is sum of the costs of the peanuts and cashews. Right member is the cost of the 34 bags of combined nuts.

17r%2B17r-17%2F5=1.1%2A34
34r-17%2F5=1.1%2A34
34r=1.1%2A34%2B17%2F5
r=1.1%2A34%2F34%2B17%2F%285%2A34%29
r=1.1%2B1%2F10
highlight%28r=1.20%29, price for one bag of cashews.