document.write( "Question 1173324: How many grams of chocolate worth P600 per kg must be mixed with 10 jg of chocolate worth P450 per kilogram to produce a moxture worth P500 per kilogram? \n" ); document.write( "
Algebra.Com's Answer #798547 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "Here is a quick and easy way to solve 2-part \"mixture\" problems like this without formal algebra (if, of course, a formal algebraic solution is not required).

\n" ); document.write( "The price of the mixture per kilogram, P500, is 1/3 of the way from P450 to P600, the prices per kg of the two ingredients. (look at it as 500 begin 1/3 of the way from 450 to 600 on a number line....)

\n" ); document.write( "That means 1/3 of the mixture is the more expensive ingredient.

\n" ); document.write( "That means the 10kg of the less expensive chocolate is 2/3 of the mixture; and that mean 1/3 of the mixture is 5kg.

\n" ); document.write( "ANSWER: 5kg

\n" ); document.write( "CHECK:
\n" ); document.write( "10(450)+5(600) = 4500+3000 = 7500
\n" ); document.write( "15(500) = 7500

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