document.write( "Question 1180701: Jonson and Mandy have some story books. If Jonson gives Mandy 5 books, they will have same number of books. If Mandy give Jonson 4 books, then the number of Jonson’s books is 3 times as many as Mandy’s. How many books does Jonson have? \n" ); document.write( "

Algebra.Com's Answer #810481 by ikleyn(52794) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Jonson and Mandy have some story books.
\n" ); document.write( "If Jonson gives Mandy 5 books, they will have same number of books.
\n" ); document.write( "If Mandy give Jonson 4 books, then the number of Jonson’s books is 3 times as many as Mandy’s.
\n" ); document.write( "How many books does Jonson have?
\n" ); document.write( "~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "As you read the text, you write these equations\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    J - 5 = M + 5      (1)    (from the first statement)\r\n" );
document.write( "\r\n" );
document.write( "    J + 4 = 3*(M-4)    (2)    (from the second statement)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From first equation, express M = (J-5) - 5 = J - 10, and substitute it into the second equation\r\n" );
document.write( "\r\n" );
document.write( "    J + 4 = 3*((J-10)-4).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplify and solve for J\r\n" );
document.write( "\r\n" );
document.write( "    J + 4 = 3*(J-14)\r\n" );
document.write( "\r\n" );
document.write( "    J + 4 = 3J - 42\r\n" );
document.write( "\r\n" );
document.write( "    4 + 42 = 3J - J\r\n" );
document.write( "\r\n" );
document.write( "      46   = 2J\r\n" );
document.write( "\r\n" );
document.write( "       J   = 46/2 = 23.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  Jonson has 23 books.\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" );