Noah
Answered

Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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


Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.