Couple questions killing me.

orchidpsycho

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Sep 26, 2005
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I have been working on a few problems that I can't seem to get the answer too. If anyone can help I would appreciate it.

1. A shopkeeper sells raisins for $3.20 per pound and nuts for $2.40 per pound. He decides to mix the raisins and nuts and sell 50lb. of the mixture for $2.72 per pound. What quantities of raisins and nuts should be used?

2. 2x-x/2+x+1/4=6x

This one I got 1/17. Not sure if its right?

3. a^3-b^6


Thanks for any help.
 
orchidpsycho said:
1. A shopkeeper sells raisins for $3.20 per pound and nuts for $2.40 per pound. He decides to mix the raisins and nuts and sell 50lb. of the mixture for $2.72 per pound. What quantities of raisins and nuts should be used?
The ONLY secret is to name stuff so you can talk about it. Write down clear and concise and meaningful definitions.

R = # of pounds of $3.20 Raisins
N = # of Pounds of $2.40 Nuts

Once you have done that, just decode the problem statement one hint at a time.

"50lb. of the mixture"

R + N = 50 lbs

"for $2.72 per pound" -- This one's a little tricky. Using total cost will do.

R*($3.20) + N*($2.40) = 50*($2.72)

Can you finish?

2. 2x-x/2+x+1/4=6x
This one I got 1/17. Not sure if its right?[quote:187lnynn]Not sure what it is you wrote. Add more parentheses to clarify.

[quote:187lnynn]3. a^3-b^6
[/quote:187lnynn][/quote:187lnynn]Difference of cubes. (a-b^2)*(you tell me)
 
#2 better clarified is 2x-(x/2)+(x+1/4)=6x

Still lost on the word problems. I just don't see it. Am not sure how to solve just for one(raisins or nuts).

The last one I know it fits into this category but not sure where to take it from here

a^3-b^6

(a-b)(a^2+ab+b^2)

Thanks
 
I can see that the word problem is 20lbs. of raisins and 30lbs. of nuts but I cannot get a formula to get that answer.
 
R + N = 50 lbs

R*($3.20) + N*($2.40) = 50*($2.72)

Solve One

R + N = 50 lbs
R = 50 lbs - N

Substitute into the other

R*($3.20) + N*($2.40) = 50*($2.72)
(50 lbs - N)*($3.20) + N*($2.40) = 50*($2.72)

Solve for what's left.
 
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