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| Math Central | Quandaries & Queries |
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Question from James, a parent: I have a 55% MgO product and 89% MgO product. I have unlimited pounds of each MgO product. I am looking to make a 80% MgO product. I need to make a 45,000 pound batch of this 80% MgO product. |
Hi James,
You need 45,000 pounds of an 80% MgO product which thus contains $0.80 \times 45,000 = 36,000$ pounds of MgO.
Suppose you take $x$ pounds of the 55% MgO product. How many pounds of MgO will that contain?
You then need $45,000 - x$ pounds of the 89% MgO product. How many pounds of MgO will that contain?
The total number of pounds of MgO you need is 36,000.
Solve for $x.$
Penny
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