Noah
Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

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?

Sagot :

a=Anne's cards
D= Devi's cards
d+24=a
3d/5=a/2
6d/5=a
6d/5=d+24
6d/5-d=24
6d-5d=120
d=120
a=144
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


We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.