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

Answer:

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#