document.write( "Question 1106190: Hi
\n" ); document.write( "andrew and carol had 160 dollars altogether. Andrew gave 1/3 of his money to carol. Then carol gave 1/5 of the amount she had back to andrew. Finally both had 80 dollars each. How much did andrew have at first. \r
\n" ); document.write( "\n" ); document.write( "Thanks \n" ); document.write( "

Algebra.Com's Answer #721133 by ikleyn(52787) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Andrew and Carol had 160 dollars altogether. Andrew gave 1/3 of his money to Carol. Then carol gave 1/5 of the amount
\n" ); document.write( "she had back to Andrew. Finally both had 80 dollars each. How much did Andrew have at first.
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "1.  Let x = \"How much did andrew have at first\".\r\n" );
document.write( "\r\n" );
document.write( "    Then Carol had (160-x) dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "2.  When Andrew gave 1/3 of his money to Carol, Carol had   =  dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "3.  Then Carol gave 1/5 of the amount she had back to Andrew. After that Carol had   dollars.\r\n" );
document.write( "\r\n" );
document.write( "    And the condition says that this amount is exactly 80 dollars:\r\n" );
document.write( "\r\n" );
document.write( "     = 80.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    It is your equation to find \"x\".  First, multiply both sides by . You will get\r\n" );
document.write( "\r\n" );
document.write( "    160 - (2/3)x}}} =  = 100.  ====>\r\n" );
document.write( "\r\n" );
document.write( "     = 160 - 100 = 60  ====>  x =  = 90.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  Andrew had 90 dollars at first.   // which means that Carol had 160-90 = 70 dollars at first.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Check.   After n.2 exchange  Andrew had 90-30 = 60;  Carol had  70+30 = 100 dollars.\r\n" );
document.write( "\r\n" );
document.write( "         After n.3 exchange Andrew had 60+20 = 80;  Carol had  100-20 = 80.\r\n" );
document.write( "\r\n" );
document.write( "         80 = 80.    ! Correct !\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" );