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.
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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.
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