Question 1153659
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A quick and easy non-algebraic path to the answer to this problem and a wide variety of similar "mixture" problems....<br>
Look at the percentages 23, 47 and 51 on a number line.
47 is 24/28 = 6/7 of the way from 23 to 51.
That means 6/7 of the mixture is the 51% alloy.<br>
With a total of 56 pounds, that means 48 pounds of the 51% alloy an 8 pounds of the 23% alloy.<br>