Anna has three cats named Molly, Dolly and Kate. Molly's and Dolly's weight ratio is 4:5 while Dolly's and Kate's weight ratio is 6:7. What is the weight ratio between Molly and Kate?

1 Answer
May 31, 2018

The answer is

"Molly" \ : \ "Kate" = 24:35

Explanation:

The weight ratios given are as given below,

  • "Molly" : "Dolly" = 4:5
  • "Dolly" : "Kate" = 6:7

In order to get a common weight for Dolly, in both of the above ratios, multiply by 5/6. So

"Dolly" : "Kate" = (6 xx 5/6) : (7 xx 5/6)

"Dolly" : "Kate" = 5 : 35/6

Now, considering the weight of all the three cats into a ratio

"Molly" : "Dolly" : "Kate" = 4 : 5 : 35/6

the conversion of the ratio into an integer form,

"Molly" : "Dolly" : "Kate" = (4/1 xx 6/6) : (5/1 xx 6/6) : (35/6)

"Molly" : "Dolly" : "Kate" = (24/6) : (30/6) : (35/6)

So

"Molly" : "Dolly" : "Kate" = 24:30:35

Therefore, the weight ratio of "Molly" : "Kate" = 24:35