SOLUTION: A bag of peanuts is worth $0.28 less than the same size bag of cashews. Equal amounts of peanuts and cashews are used to make 45 bags of a mixture that sells for $1.25 per bag. How

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Question 377832: A bag of peanuts is worth $0.28 less than the same size bag of cashews. Equal amounts of peanuts and cashews are used to make 45 bags of a mixture that sells for $1.25 per bag. How much is a bag of cashews worth? (Give your answer to the nearest cent.)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = price/bag of cashews
given:
x+-+.28 = price/bag of cashews
Equal amounts of peanuts and cashews are
used to make 45 bags of a mixture that sells for $1.25 per bag.
There must be 22.5 bags of each, so
22.5x+%2B+22.5%2A%28x+-+.28%29+=+45%2A1.25
Divide both sides by 22.5
x+%2B+x+-+.28+=+2%2A1.25
2x+=+2.5+%2B+.28
2x+=+2.78
x+=+1.39
A bag of cashews costs $1.39
check answer:
22.5x+%2B+22.5%2A%28x+-+.28%29+=+45%2A1.25
22.5%2A1.39+%2B+22.5%2A%281.39+-+.28%29+=+45%2A1.25
31.275+%2B+22.5%2A1.11+=+56.25
31.275+%2B+24.975+=+56.25
56.25+=+56.25