Question

Adhy, Ben and Clayson shared a bag of chocolates. The ratio of Adhy's share to Ben's share is 3:4 while

the ratio of Ben's share to Clayson's share is 3:5.
Given that Ben has 9 more chocolates than Adhy, find the difference between the number of chocolates
that Adhy and Clayson has.​

Answer 1

Answer: 33

Explanation:

The ratio of Adhy's to Ben's is 3:4 so let

Adhy = 3x

Ben = 4x

Since Ben = Adhy + 9

then 4x = 3x + 9

--> x = 9

So, Adhy = 3x = 3(9) = 27

Ben = 4x = 4(9) = 36

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The ratio of Ben's to Clayson's is 3:5

How do we get Ben's ratio of 3 equal to 36? by multiplying by 12

Ben : Clayson

3 x 12 5 x 12

36 60

So, Clayson = 60

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The difference between Adhy and Clayson is:

Clayson - Adhy

60 - 27 = 33