Question

PLEASE PLEASE PLEASE PLEASE PLEASE HELP a grocer wants to make a 10-pound mixture of peanuts and cashews that he can sell for $4.75 per pound., how many pounds of each should he use? let p=pounds of peanuts and c=pounds of cashews. write a system of equations that can be used to solve the problem

Answer 1

@Squirrels

Answer 2

http://answers.yahoo.com/question/index?qid=20090218115536AAyet2W

Answer 3

$w@qq3r

Answer 4

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Answer 5

Let p be the pounds of peanuts
Let c be the pounds of cashews

Write an equation for the total weight.
p + c = 10

Write an equation for the mixture. Remember the final mixture is $4.75 for each of 10 lbs so multiply 4.75 x 10:
4.00p + 6.50c = 4.75(10)

Let's simplify the second equation:
4p + 6.5c = 47.5

Multiply both sides by 2 to get rid of the decimals:
8p + 13c = 95

Then solve the first equation for one variable (say p):
p = 10 - c

Substitute:
8(10-c) + 13c = 95

Distribute the 8 through the parentheses:
80 - 8c + 13c = 95
80 + 5c = 95

Subtract 80 from both sides:
5c = 15

Divide both sides by 5:
c = 15/5
c = 3

Then substitute back to get p:
p = 10 - c
p = 10 - 3
p = 7

Answer:
7 lbs of peanuts
3 lbs of cashews

Answer 6

$w@qq3r

Answer 7

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Answer 8

<3