Question 1053700
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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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<pre>
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

{{{x/y}}} = {{{0.4/0.5}}} = {{{4/5}}}.

Take 4 parts of the $4.50 rice for 5 parts of the $5.40 rice.
</pre>

Solved.


There is entire bunch of the lessons covering various types of mixture problems

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/mixtures/Mixture-problems.lesson>Mixture problems</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/mixtures/More-Mixture-problems.lesson>More Mixture problems</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/mixtures/Solving-typical-mixture-problems.lesson>Solving typical word problems on mixtures for solutions</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/mixtures/Solving-typical-word-problems-on-mixtures-for-dry-substances-coffee-nuts.lesson>Word problems on mixtures for dry substances like coffee beans, nuts, cashew and peanuts</A> (*)

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/mixtures/Word-problems-on-mixtures-for-dry-substances-like-cookies-candies.lesson>Word problems on mixtures for dry substances like candies, dried fruits</A> (*)

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

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


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