SOLUTION: Amanda, Bala and Calvin have some storybooks. 3/4 of Amanda’s storybooks is equal to 1/6 of Bala’s storybooks as well as 1/3 of Calvin’s storybooks. Find the ratio of the number

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Question 976297: Amanda, Bala and Calvin have some storybooks. 3/4 of Amanda’s storybooks is equal to 1/6 of Bala’s storybooks as well as 1/3 of Calvin’s storybooks. Find the ratio of the number of Bala’s storybooks to the number of Calvin’s storybooks to the number of Amanda’s storybooks.
Found 2 solutions by FrankM, MathTherapy:
Answer by FrankM(1040)   (Show Source): You can put this solution on YOUR website!
We can substitute a number, do the math, then find the ratios.
Say Amanda has 12 books. 3/4 of that, 9 is 1/6 of Balas's so Bala has 54, and Calvin has 27.
B:C:A is 54:27:9 which are all multiples of 9 so we reduce to 6:3:1 as the ratio.
Answer by MathTherapy(10557)   (Show Source): You can put this solution on YOUR website!
Amanda, Bala and Calvin have some storybooks. 3/4 of Amanda’s storybooks is equal to 1/6 of Bala’s storybooks as well as 1/3 of Calvin’s storybooks. Find the ratio of the number of Bala’s storybooks to the number of Calvin’s storybooks to the number of Amanda’s storybooks.
Let number Amanda has, be A

Then Bala has: 6A, and Calvin has: 3A

Ratio of Bala’s to Calvin’s to Amanda’s: 6A:3A:A, or  

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