SOLUTION: Please help me with this word problem Susan wants to mix 10 pounds of Virginia peanuts that cost $3.50 a pound with Spanish peanuts that cost $3.00 a pound to obtain a mixture

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Question 1059081: Please help me with this word problem
Susan wants to mix 10 pounds of Virginia peanuts that cost $3.50 a pound with Spanish peanuts that cost $3.00 a pound to obtain a mixture that costs $3.40 a pound. How many pounds of Spanish peanuts should she use?
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Look up mixture problems.
This has been done 1000's of times.
Answer by ikleyn(52896)   (Show Source): You can put this solution on YOUR website!
.Please help me with this word problem
Susan wants to mix 10 pounds of Virginia peanuts that cost $3.50 a pound with Spanish peanuts that cost $3.00 a pound
to obtain a mixture that costs $3.40 a pound. How many pounds of Spanish peanuts should she use?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Let "x" be an amount of Spanish peanuts, in pounds.

Then the governing equation is

3.50*10 + 3.00*x = 3.40*(10+x).


3.50*10 is the cost of 10 pounds of Virginia peanuts.
3.00*x  is the cost of  x pounds of Spanish peanuts.

The sum on  the left side is the cost of the mix.
The right side is the cost of the mix expressed by another way.

Now you need to solve the equation (*) and find the unknown "x".

Could you make it on your own?

It is a typical problem on mixtures.
It was really solved 1000 times in this forum.

There is entire bunch of lessons covering various types of mixture problems
    - Mixture problems
    - More Mixture problems
    - Solving typical word problems on mixtures for solutions
    - Word problems on mixtures for antifreeze solutions
    - Word problems on mixtures for dry substances like coffee beans, nuts, cashew and peanuts
    - Word problems on mixtures for dry substances like candies, dried fruits
    - Word problems on mixtures for dry substances like soil and sand
    - Word problems on mixtures for alloys
    - Typical word problems on mixtures from the archive
    - OVERVIEW of lessons on word problems for mixtures
in this site.

Read them and become an expert in solution the mixture word problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

It contains many other solved word problems, as well as many other interesting and useful things.


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