A baker purchased 14 lb of wheat flour and 16 lb of rye flour for a total cost of $21.72. A second purchase, at the same prices, included 14 lb of wheat flour and 13 lb of rye flour. The cost of the second purchase was $19.59. Find the cost per pound of the wheat flour and the rye flour.

Question

Quizplus · Accepted Answer

Let the cost per pound of wheat be $w and the cost per pound of rye be $r. Then we have the following system of equations:

14w + 16r = 21.72
14w + 13r = 19.59

Subtracting the second equation from the first, we get:

3r = 2.13

Therefore, r = 0.71. Substituting this value into either equation, we can solve for w:

14w + 16(0.71) = 21.72
14w = 10.76
w = 0.77

Therefore, the cost per pound of wheat is $0.74 and the cost per pound of rye is $0.71. Choice C is the correct answer.

A Baker Purchased 14 Lb of Wheat Flour and 16