document.write( "Question 1189020: 1. Train A has a speed 20 miles per hour greater than that of train B. If train A travels 300 miles in the same times train B travels 220 miles, what are the speeds of the two trains?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2. A woman has a total of $13,000 to invest. She invests part of the money in an account that pays 11% per year and the rest in an account that pays 12% per year. If the interest earned in the first year is $1490 how much did she invest in each account?
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #820234 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "A woman has a total of $13,000 to invest. She invests part of the money in an account that pays 11% per year
\n" ); document.write( "and the rest in an account that pays 12% per year. If the interest earned in the first year is $1490
\n" ); document.write( "how much did she invest in each account?
\n" ); document.write( "~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "interest + interest       = total interest\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "0.12*x   + 0.11*(13000-x) = 1490    dollars\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "0.12x + 1430 - 0.11x = 1490\r\n" );
document.write( "\r\n" );
document.write( "0.01x = 1490 - 1430 = 60  ====>  x = \"60%2F0.01\" = 6000.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  $6000 was invested at 12%.  The rest   13000-6000 = 7000 dollars were invested at 11%.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Check.   0.12*6000 + 0.11*7000 = 1490 dollars, total annual interest.   ! Correct !\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "To see many other similar solved problems on investment,  look into the lesson\r
\n" ); document.write( "\n" ); document.write( "    - Using systems of equations to solve problems on investment\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "You will find there different approaches  (using one equation or a system of two equations in two unknowns),  as well as
\n" ); document.write( "different methods of solution to the equations  (Substitution,  Elimination).\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Systems of two linear equations in two unknowns\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\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( "Do not pack more than one problem per post.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );