document.write( "Question 1117841: a man has 105 $ and he wants to buy 13 items from market, each item costs 3$, 6$ and 12$, so how many items he can buy with 105$ find the amount of each item.
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Algebra.Com's Answer #732992 by josgarithmetic(39625)\"\" \"About 
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Quantity of each item x, y, z\r
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\n" ); document.write( "\n" ); document.write( "\"system%28x%2By%2Bz=13%2C3x%2B6y%2B12z=105%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"system%28x%2By%2Bz=13%2Cx%2B2y%2B4z=35%29\"
\n" ); document.write( "Solution may contain more than one combination for x, y, z. You want whole-numbers only. First, assume that z is some already known or chosen constant; and solve for x and y. Find values for z which make sense, and find corresponding x or y for each.\r
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\n" ); document.write( "\n" ); document.write( "If subtract item count equation from the simplified cost equation,
\n" ); document.write( "\"y%2B3z=22\"
\n" ); document.write( "Here, there will be very very few values for z which make any sense.
\n" ); document.write( "Go from there. Look at possible z values of Natural Numbers from 0 to 7 and see what happens to x and y.
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