SOLUTION: Basmati rice costs $4.50/kg while wild rice costs $5.40/kg. In what ratio should the basmati rice be mixed with wild rice to create a blend that costs $5.00/kg?

Question 1053700: Basmati rice costs $4.50/kg while wild rice costs $5.40/kg. In what ratio should the basmati rice be mixed with wild rice to create a blend that costs $5.00/kg?
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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Basmati rice costs $4.50/kg while wild rice costs $5.40/kg. In what ratio should the basmati rice be mixed
with wild rice to create a blend that costs $5.00/kg?
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Let x and y be the amounts of the $4.50 and $5.40 rice respectively.

Then the "value" equation is

4.50x + 5.40y = 5*(x+y)

Collect the terms with x on the left side; the terms with y on the right side:

4.50x - 5.00x = 5y - 5.40y,  or

-0.5x = -0.4y,  or

0.5x = 0.4y,  which gives you

 =  = .

Take 4 parts of the $4.50 rice for 5 parts of the $5.40 rice.

Solved.

There is entire bunch of the 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 dry substances like coffee beans, nuts, cashew and peanuts (*)
    - Word problems on mixtures for dry substances like candies, dried fruits (*)
in this site.

The most relevant lessons of this list are marked with (*).
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.

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

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