SOLUTION: seed cost .20/oz nuts cost .30/oz a 42oz mixture costs $11.00 how many ounces of seeds and nuts were used in this mixture? I do not know how to put this into an algebra prob

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Question 385221: seed cost .20/oz
nuts cost .30/oz
a 42oz mixture costs $11.00
how many ounces of seeds and nuts were used in this mixture?
I do not know how to put this into an algebra problem. Thank you.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
seed cost .20/oz
nuts cost .30/oz
a 42oz mixture costs $11.00
how many ounces of seeds and nuts were used in this mixture?
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Equations:
Weight Eq.::: s + n = 42 oz
Value Eq. :: 20s + 30n = 1100 cents
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Multiply the 1st equation by 20 to get:
20s + 20n = 20*42
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Subtract that from the Value Eq. and solve for "n":
10n = 1100-840
10n = 260
n = 26 oz (# of ounces of nuts needed in the mix)
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since s+n = 42, s = 16 oz (# of ounces of seeds needed in the mix)
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Cheers,
Stan H.