SOLUTION: Fertilizer with weed control costing $26 per 50-pound bag is to be mixed with a less expensive fertilizer costing $4 per 50-pound bag to make 11 bags of fertilizer that can be sold

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Question 1067534: Fertilizer with weed control costing $26 per 50-pound bag is to be mixed with a less expensive fertilizer costing $4 per 50-pound bag to make 11 bags of fertilizer that can be sold for $22 per bag. How many bags of cheaper fertilizer should be used?
________bags
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
If still to be packaged in fifty-pound bags, then the denominator unit for price is BAG.

x for the number of bags of cheap fertilizer
y for number of bags of better fertilizer

system%28%284x%2B26y%29%2F11=22%2Cx%2By=11%29 ------this system accounts for price and number of bags.


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4x%2B26y=11%2A22
2x%2B13y=121

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y=11-x
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2x%2B13%2811-x%29=121
2x%2B13%2A11-13x=121
-11x=121-13%2A11
11x=13%2A11-11%2A11
x=13-11
highlight%28x=2%29----------Two of the $4 bags

highlight%28y=9%29----------Nine of the $26 bags