A grocer wants to make a 10-pound mixture of peanuts and cashews that he can sell for $4.75 per pound. If peanuts cost $4.00 per pound and cashews cost $6.50 per pound, how many pounds of cashews should he use?
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7
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OpenStudy (anonymous):
do u know how to do this
OpenStudy (jackellyn):
Let C and P be the pounds of each in the mix
6.50 C + 4.00P = 47.50 (dollars)
C + P = 10 (pounds)
You do the solving. Try substituting 100 - C for P in the first equation, and then solve for C.
Use back substitution.
OpenStudy (anonymous):
@johhjohn Can you do it?
OpenStudy (anonymous):
im tryin
OpenStudy (anonymous):
More hints :)
6.5 c + 4 ( 10 - c) = 47.5
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OpenStudy (anonymous):
Does it help?
OpenStudy (jackellyn):
my bad, 10-c not 100-c, type-o
OpenStudy (anonymous):
more 2.5c=7.5
=c=3
OpenStudy (anonymous):
its cool an thats the part that rly messed me up
OpenStudy (anonymous):
Yep, 3 lbs of cashew
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OpenStudy (anonymous):
thax
OpenStudy (anonymous):
Can you find the pounds of peanut ?
OpenStudy (anonymous):
Hint: Total mixed pounds is 10 lbs :)
OpenStudy (anonymous):
Even it's not in the question but you should know for your own good!
OpenStudy (anonymous):
ya 7 right
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OpenStudy (anonymous):
The essential concept here is to construct the equation:
6.5 c + 4 ( 10 - c) = 47.5
OpenStudy (anonymous):
wat u mean
OpenStudy (anonymous):
The calculation part just a trivial step after you write down the equation!