document.write( "Question 1186459: How much coffee costing P40 per kilo must be added to 150 kilos costing P48 per kilo to make a mixture costing P45 per kilo? \n" ); document.write( "

Algebra.Com's Answer #817381 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "If you like to solve problems by plugging numbers into a formula without any understanding of HOW the problem is being solved, use the method shown by tutor @josgarithmetic.

\n" ); document.write( "If you want to solve the problem using a formal algebraic method that is easy to understand, use the method shown by tutor @ikleyn.

\n" ); document.write( "And if you want to solve any 2-part mixture problem like this quickly without formal algebra, you can try this method:

\n" ); document.write( "(1) Picture the three costs per kilo on a number line -- 40, 45, and 48 -- and observe/calculate that 45 is 5/8 of the way from 40 to 48.
\n" ); document.write( "(2) That means 5/8 of the mixture is the higher-priced coffee.

\n" ); document.write( "So the 150 kilos that you started with is 5/8 of the mixture; that means the 3/8 of the mixture that you added is 90 kilos.

\n" ); document.write( "ANSWER: 90 kilos

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