A baker purchased 10 lb of wheat flour and 11 lb of rye flour for a...
A baker purchased 10 lb of wheat flour and 11 lb of rye flour for a total cost of $13.60. A second purchase, at the same prices, included 13 lb of wheat flour and 14 lb of rye flour. The cost of the second purchase was $17.50. Find the cost per pound of the wheat flour and of the rye flour.
Homework Answers
cost per pound of the wheat flour =$x
cost per pound of the rye flour =$y
Set up equation as
10x+11y=13.60
13x+14y=17.50
From first equation,
11y= 13.6 -10x
y =(13.6 -10x)/11
Substitute this in second equation
13x+14*(13.6 -10x)/11=17.50
Multiply both sides by 11
143x+190.4-140x=192.5
3x=192.5-190.4
3x=2.1
x=2.1/3
x=0.7
Substitute this in y =(13.6 -10x)/11
y =(13.6 -10*0.7)/11 =0.6
hence
cost per pound of the wheat flour =$0.7
cost per pound of the rye flour =$0.6
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