document.write( "Question 1184459: Gillian and Ben had a total of 4850 toys. Ben have 3/7 of his toys to Gillian. She then gave 1/3 of here toys to Ben. The ratio of the number of toys Gillian left to the number of toys Ben left was 2:3.
\n" );
document.write( "a) How many toys did Gillian have at the end?
\n" );
document.write( "b) How many toys did Ben have at first?\r
\n" );
document.write( "\n" );
document.write( "Dear teachers, can help me how to do this? Is ratio working backwards I think. \n" );
document.write( "
Algebra.Com's Answer #815107 by 54929(12)![]() ![]() You can put this solution on YOUR website! a) Since the ratio of toys was 2:3, total toys are \n" ); document.write( "4850 \n" ); document.write( "Hence 4850 * 2/2+3 = 1940 \n" ); document.write( " the answer is 1940 toys\r \n" ); document.write( "\n" ); document.write( " b) Assuming Ben had x toys at first \n" ); document.write( " Gillian had y toys at first \n" ); document.write( " { (1-3/7)x + 1/3(3/7x + y) = 4850 * 3/5 \n" ); document.write( " { (3/7x + y) (1 - 1/3) = 1940\r \n" ); document.write( "\n" ); document.write( " { 5/7x + 1/3y = 2910 => { x = 3395 \n" ); document.write( " { 2/7x + 2/3y = 1940 { y = 1455 \n" ); document.write( " Ben had 3395 toys. \n" ); document.write( " |