Question

The Nut Barn requires 15 pounds of mixed walnuts and pecans from their wholesaler. Walnuts cost $2.26 per pound and pecans cost $1.96 per pound. How many pounds of pecans are needed if they only want to pay $2.18 per pound for the mixture?

Answer 1

(1) W +P = 15
(2) (2.26W+1.96P)/15=2.18
-------------------------
(2) 2.26 W+1.96 P=2.18*15
(2) 2.26 W +1.96 P =32.7
(2) 226 W + 196 P = 3270

Multiply both sides of (1) by 196
and subtract (1) from (2)

(2) 226 W +196 P =3270
(1) -196 W - 196 P =-2940

30 W = 330

W = 11

and, since
(1) W + P = 15
(1) P = 4

11 pounds of walnuts and
4 pounds of pecans

Answer 2

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