document.write( "Question 1161448: I came across this question and they solved it by using the bar model.
\n" ); document.write( "How do I solve this algebraically? Why do you add 6+10 to get 16?\r
\n" ); document.write( "\n" ); document.write( "Mr. Lee wants to buy 5 shirts. If he buys 3 shirts, he will have $6 left. If he gets all of them, he will be $10 short. How much money does Mr. Lee have?
\n" ); document.write( "2 units: 6+10=16
\n" ); document.write( "1 unit: 16/2=8
\n" ); document.write( "Mr. Lee has $30\r
\n" ); document.write( "\n" ); document.write( "Mr. Lee has money for 3 shirts and $6 extra\r
\n" ); document.write( "\n" ); document.write( "To buy two more shirts, Mr. Lee has to use $6 leftover and find another $10 he is short of.\r
\n" ); document.write( "\n" ); document.write( "Thanks in advance.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #785002 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "In accordance with the context of the problem, all the shirts have the same price.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Let x be the price for one shirt.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then Mr. Lee has, from one part of the condition,  3x + 6 dollars;\r\n" );
document.write( "\r\n" );
document.write( "                  from the other part of the condition, he has  5x - 10 dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It gives you THIS EQUATION\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    3x + 6 = 5x - 10.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplify and find x\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    6 + 10 = 5x - 3x\r\n" );
document.write( "\r\n" );
document.write( "    16     = 2x\r\n" );
document.write( "\r\n" );
document.write( "     x     = 16/2 = 8 dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "One shirt costs 8 dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Hence, Mr Lee has  3x + 6 = 3*8 + 6 = 30 dollars.    ANSWER\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );