document.write( "Question 831258: 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 of oranges and 14 large boxes of oranges for a total of $203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost each of one small box of oranges and one large box of oranges. \n" ); document.write( "
Algebra.Com's Answer #501217 by Elomeht(22)\"\" \"About 
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1. 3x + 14y = 203
\n" ); document.write( "2. 11x + 11y = 220\r
\n" ); document.write( "\n" ); document.write( "3. Divide the last equation above by 11: x + y = 20
\n" ); document.write( "4. This is the same as saying x = 20 - y\r
\n" ); document.write( "\n" ); document.write( "5. Now, substitute for x in the first equation: 3(20 - y) + 14y = 203
\n" ); document.write( "6. The above equation simplifies to 60 - 3y + 14y = 203
\n" ); document.write( "7. Now express the equation in terms of y: 11y = 143\r
\n" ); document.write( "\n" ); document.write( "8. From the last equation, y = 13
\n" ); document.write( "9. Since x + y = 20, x = 7
\n" ); document.write( "10. Check: (3 times 7) + (14 times 13) = 21 + 182 = 203;
\n" ); document.write( " (11 times 7) + (11 times 13) = 77 + 143 = 220
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