For the following problems show how the problem is set up, the work to solve the problem, along with the solution.
2.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?
Solution
You have the following system of equations to solve:
w+p = 15
(2.26w + 1.96p)/15 = 2.18
I would solve w+p=15 for either variable then substitute. w = 15-p
(2.26(15-p) + 1.96p)/15 = 2.18
p = 4
Check:
p = 4
w = 11
4+11 = 15
11*2.26 = 24.86
4*1.96=7.84
24.86+7.84 = 32.70/15 = 2.18 per lb
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For the following problems show how the problem is set up- the work to (1).docx
1. For the following problems show how the problem is set up, the work to solve the problem,
along with the solution.
2.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?
Solution
You have the following system of equations to solve:
w+p = 15
(2.26w + 1.96p)/15 = 2.18
I would solve w+p=15 for either variable then substitute. w = 15-p
(2.26(15-p) + 1.96p)/15 = 2.18
p = 4
Check:
p = 4
w = 11
4+11 = 15
11*2.26 = 24.86
4*1.96=7.84
24.86+7.84 = 32.70/15 = 2.18 per lb
