SOLUTION: Fertilizer with weed control costing $46 per 50-pound bag is to be mixed with a less expensive fertilizer costing $8 per 50-pound bag to make 19 bags of fertilizer that can be sold

Question 914468: Fertilizer with weed control costing $46 per 50-pound bag is to be mixed with a less expensive fertilizer costing $8 per 50-pound bag to make 19 bags of fertilizer that can be sold for $28 per bag. How many bags of cheaper fertilizer should be used?
Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!
y, the costlier fertilizer, number of bags
x, the number of bags of cheaper fertilizer
-
Observe that the question is how many bags, but not how many pounds.

The mixture to result must be dollars per bag.

Accounting for count of bags, .

The "50-pound bag" part of the description is just an informative distraction to solving the problem. This problem is the same general type as discussed and solved in the lesson: http://www.algebra.com/my/mixture-price-two-part-both-parts-unknown.lesson?content_action=show_dev, but now that you can plainly see the needed equations for this question, you can simply solve the system for x and y.
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