document.write( "Question 1206851: https://brainly.com/question/50102906?answeringSource=feedPublic%2FhomePage%2F9 \n" ); document.write( "
Algebra.Com's Answer #844523 by ikleyn(52932)\"\" \"About 
You can put this solution on YOUR website!
.\r
\n" ); document.write( "\n" ); document.write( "GOOGLE translation from Spanish\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Help please I don't understand
\n" ); document.write( "Ali and Samuel both had the same amount of money after Samuel gave $15 to Ali.
\n" ); document.write( "The ratio of Ali's money to Samuel's was 7:5. How much did each of them have at the beginning?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "x = Ali's money at the beginning;\r\n" );
document.write( "y = Sam's money at the beginning.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "We have these two equations\r\n" );
document.write( "\r\n" );
document.write( "    y - 15 = x + 15    (1)    \"Ali and Samuel both had the same amount of money after Samuel gave $15 to Ali\"\r\n" );
document.write( "\r\n" );
document.write( "and \r\n" );
document.write( "\r\n" );
document.write( "    \"x%2Fy\" = \"7%2F5\"    (2)    \"The ratio of Ali's money to Samuel's was 7:5\"\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From (2),  x = \"%287%2F5%29%2Ay\".  Substitute it into equation (1).  You will get\r\n" );
document.write( "\r\n" );
document.write( "    y - 15 = \"%287%2F5%29y\" + 15.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Multiply both sides by 5\r\n" );
document.write( "\r\n" );
document.write( "    5y - 15*5 = 7y + 15*5\r\n" );
document.write( "\r\n" );
document.write( "    5y - 75 = 7y + 75\r\n" );
document.write( "\r\n" );
document.write( "    -75 - 75 = 7y - 5y\r\n" );
document.write( "\r\n" );
document.write( "       -150  =    2y\r\n" );
document.write( "\r\n" );
document.write( "          y  = \"%28-150%29%2F2\" = -75.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "But this answer, y = -75, is mathematically non-sensical, since the amount of money must be positive, in this context.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It means that the problem, as it is given in the post, is posed INCORRECTLY.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "--------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Do not be surprised.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "A significant amount of Math problems circulating in the Internet
\n" ); document.write( "are posed incorrectly (an experimental fact). This is one of them.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "//////////////////\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The solution, which @MathLover1 presented in her post,
\n" ); document.write( "does not correspond to the given problem.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So, you better ignore it, for safety of your mind.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );