document.write( "Question 1054037: The number of paper cranes that Thomas has is 8 times that of Raymond. If Thomas gives 28 paper cranes to Raymond, they will have the same number of paper cranes. How many paper cranes do they have altogether? \n" ); document.write( "

Algebra.Com's Answer #669243 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "Want to know how to make a paper crane?  Go here:\r\n" );
document.write( "\r\n" );
document.write( "https://www.youtube.com/watch?v=pqeI94Jri1M\r\n" );
document.write( "

\n" ); document.write( "The number of paper cranes that Thomas has is 8 times that of Raymond.
\n" ); document.write( "

\r\n" );
document.write( "So\r\n" );
document.write( "\r\n" );
document.write( "T = 8R\r\n" );
document.write( "

\n" ); document.write( "If Thomas gives 28 paper cranes to Raymond,
\n" ); document.write( "

\r\n" );
document.write( "then Thomas will have T-28 paper cranes, \r\n" );
document.write( "and Raymond will have R+28\r\n" );
document.write( "

\n" ); document.write( "they will have the same number of paper cranes.
\n" ); document.write( "

\r\n" );
document.write( "So T-28 = R+28\r\n" );
document.write( "\r\n" );
document.write( "That gives us this system of two equations in\r\n" );
document.write( "two unknowns:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Solve that by substituting 8R from the first equation\r\n" );
document.write( "for T in the second equation:\r\n" );
document.write( "\r\n" );
document.write( "8R-28 = R+28\r\n" );
document.write( "   7R = 56\r\n" );
document.write( "    R = 8\r\n" );
document.write( "\r\n" );
document.write( "The substitute 8 for R in T=8R\r\n" );
document.write( "\r\n" );
document.write( "T = 8(8)\r\n" );
document.write( "T = 64\r\n" );
document.write( "\r\n" );
document.write( "Let's check that so far:\r\n" );
document.write( "The number of paper cranes that Thomas has, which is 64,\r\n" );
document.write( "is 8 times that of Raymond, which is 8. \r\n" );
document.write( "\r\n" );
document.write( "If Thomas gives 28 paper cranes to Raymond, then Thomas\r\n" );
document.write( "will have only 64-28 or 36, and Raymond will have 8+28 or 36,\r\n" );
document.write( "so they will have the same number of paper cranes. \r\n" );
document.write( "\r\n" );
document.write( "So it is correct.  But the question is:\r\n" );
document.write( "

\n" ); document.write( "How many paper cranes do they have altogether?
\n" ); document.write( "

\r\n" );
document.write( "They have 8+64 or 72 paper cranes altogether.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );