SOLUTION: Sally has a recipe that calls for horseradish sauce that is 55% pure horseradish. at the grocery store she finds one horseradish sauce that is 10% pure horseradish and another that

Question 1092927: Sally has a recipe that calls for horseradish sauce that is 55% pure horseradish. at the grocery store she finds one horseradish sauce that is 10% pure horseradish and another that is 60% pure horseradish. how many teaspoons of each horseradish sauces should sally mix together to get 4 teaspoons of horseradish sauce that is 55% pure horseradish?
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.

Let x = # teaspoons of the 10% HR;
    y = # teaspoons of the 60% HR.

Then the system of equations is 

   x +     y = 4,        (1)     (total volume, in teaspoons)
0.1x + 0.60y = 0.55*4    (2)     (the pure HR contents)

 
Multiply the second eqn by 100 to get

   x +     y = 4,        (1')    
 10x +   60y = 220       (2')


Express x = 4 - y from (1), and then substitute into (2'). You will get

10*(4-y) + 60y = 220.

40 - 10y + 60y = 220,  ====>  50y = 220 - 40 = 180  ====>  y =  =  .

Answer. teaspoons of the 60% HR and teaspoons of the 10% HR.

It is a typical mixture word problem.

There is entire bunch of introductory 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 alloys
    - Typical word problems on mixtures from the archive
in this site.

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

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

The referred lessons are the part of this textbook in the section "Word problems" under the topic "Mixture problems".

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