SOLUTION: A baker purchased 11 lb of wheat flour and 10 lb of rye flour for a total cost of $14.65. A second purchase, at the same prices, included 13 lb of wheat flour and 15 lb of rye flou
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Question 1134014: A baker purchased 11 lb of wheat flour and 10 lb of rye flour for a total cost of $14.65. A second purchase, at the same prices, included 13 lb of wheat flour and 15 lb of rye flour. The cost of the second purchase was $19.70. Find the cost per pound of the wheat flour and of the rye flour. Answer by greenestamps(13198) (Show Source):
Let w and r be the costs per pound of the wheat and rye flour, respectively. Then the given information tells us
There are several ways to solve a system of equations like this. When the two equations are both given, as they are in this problem, in the form Ax+By=C, I find elimination the easiest method.
Triple the first equation and double the second; that will make both equations contain terms of 30r. Then subtracting one equation from the other will eliminate r, allowing you to solve for w. Then substitute the value you find for w in either of the original equations to solve for r.
