Mixture Problems

[yankeefan37845]

I'm having trouble setting these problems up:

1. Express the concentration (in oz/gal) of salt in a mixture of 4 gallons of brine containing 23 oz of salt, to which some pure water has been added, where z= volume of pure water added (in gallons).

2. A store owner blends raisins that sell for $2.85 per pound with peanuts that sell for $2.60 per pound to produce 90 lb of mixture that sells for $2.75 per pound. How many pounds of raisins and peanuts should he use?

-Thank you

 

[Deleted member 4993]

I'm having trouble setting these problems up:

1. Express the concentration (in oz/gal) of salt in a mixture of 4 gallons of brine containing 23 oz of salt, to which some pure water has been added, where z= volume of pure water added (in gallons).

2. A store owner blends raisins that sell for $2.85 per pound with peanuts that sell for $2.60 per pound to produce 90 lb of mixture that sells for $2.75 per pound. How many pounds of raisins and peanuts should he use?

-Thank you

What are your unknowns?

Assign variable names to those.

What are the "givens"?

How are those related ? derive your equations.

Please show us your work, indicating exactly where you are stuck - so that we know where to begin to help you.

 

[yankeefan37845]

I honestly do not know where to start.

 

[Deleted member 4993]

I honestly do not know where to start.

I told you where and how to start - show me you started...

 

[yankeefan37845]

1. I figured this one out, is the answer 23/(4+x)?

2. I think i got this one too. 30 lb of raisins and 60 lbs of peanuts

 

[Deleted member 4993]

1. I figured this one out, is the answer 23/(4+x)?<<< You are correct - but to be correct beyond doubt you should write

x = amount of added water to solution

z = 23/(4+x)

2. I think i got this one too. 30 lb of raisins and 60 lbs of peanuts