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Anne has 24 more cards than Devi. Anne finds that 3/5 of Devi's cards are equal to 1/2 of her cards. How many cards does Anne have?
LET ANNE HAS X NUMBER OF CARDS LET DEVI HAS Y NUMBER OF CARDS X-Y= 24 ------EQ 1 3/5Y=1/2X 6Y=5X (cross multiplying)-------EQ 2 FROM EQ 1 WE GET X=24+Y substituting the value of x in eq 2, we get 6y=5(24+y) 6y =120+5y y= 120
NOW, PUTTING THE VALUE OF Y IN EQ 1 X-120=24 X=24+120 X=144 THEREFORE, ANNE HAS 144 CARDS
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