document.write( "Question 271268: matt and ming are selling fruit for a school fundraiser. customers can buy small boxes of oranges and large boxes of oranges. matt sold 3 small boxes and 14 large boxes of oranges for a total of $203. ming sold 11 small boxes and 11 large boxes of oranges for a total of $220. find the cost of each one small box and one large box of oranges. \n" ); document.write( "

Algebra.Com's Answer #198671 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = cost of one small box
\n" ); document.write( "Let $\"b\"$ = cost of one large box
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"3a+%2B+14b+=+203\"$
\n" ); document.write( "(2) $\"11a+%2B+11b+=+220\"$
\n" ); document.write( "Multiply both sides of (2) by $\"3%2F11\"$
\n" ); document.write( "(1) $\"3a+%2B+14b+=+203\"$
\n" ); document.write( "(2) $\"%283%2F11%29%2A11a+%2B+%283%2F11%29%2A11b+=+%283%2F11%29%2A220\"$
\n" ); document.write( "And subtract (2 ) from (1)
\n" ); document.write( "(1) $\"3a+%2B+14b+=+203\"$
\n" ); document.write( "(2) $\"-3a+-+3b+=+-60\"$
\n" ); document.write( " $\"11b+=+143\"$
\n" ); document.write( " $\"b+=+13\"$
\n" ); document.write( "and, since
\n" ); document.write( " $\"3a+%2B+14b+=+203\"$
\n" ); document.write( " $\"3a+%2B+14%2A13+=+203\"$
\n" ); document.write( " $\"3a+%2B+182+=+203\"$
\n" ); document.write( " $\"3a+=+21\"$
\n" ); document.write( " $\"a+=+7\"$
\n" ); document.write( "The cost of 1 small box is $7
\n" ); document.write( "The cost of 1 large box is $13
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"11a+%2B+11b+=+220\"$
\n" ); document.write( " $\"a+%2B+b+=+20\"$
\n" ); document.write( " $\"13+%2B+7+=+20\"$
\n" ); document.write( " $\"20+=+20\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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