Problema 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 46 bags of a mixture that sells for $1.30 per bag. How much is a bag of cashews worth?

Answer provided by our tutors

let


x = the cost of bag of peanuts


x + 0.20 = the cost of bag of cashews


Equal amounts of peanuts and cashews are used to make 46 bags of a mixture means that 46/2 = 23 bags of peanuts and 23 bags of cashews are used


23x + (x + 0.20)*23 = 46*1.30


by solving we find:


x = $1.20


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$1.20 + $0.20 = $1.40


a bag of cashes is worth $1.40.