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The ratio of the number of marbles Kaden, Adam, and John gave away was 2:4:9. The number of marbles Kaden have away was 2 fewer than the number of marbles he had left. Adam had 1/2 as many marbles left as John. Kaden had 1/2 as many marbles left as Adam. They had a total of 56 marbles left. How many marbles did John give away?

 Apr 19, 2021
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Let the common ration be \(x\).

So no. of marbles

Kaden gave away = 2\(x\)

Adam gave = 4\(x\)

John gave = 9\(x\)

Now, no. of marbles

Kaden has = 2\(x\) + 2

Adam has = 2(2\(x\) + 2) 

                     = 4\(x\) + 4

John has = 2(4\(x\) + 4) 

                   = 8\(x\) + 8 

 

2\(x\) + 2 + 4\(x\) + 4 + 8\(x\) + 8 = 56

14\(x\) + 14 = 56

14\(x\) = 42

\(x\) = 3

 

Thus John gave away 9*3 = 27 marbles. 

 Apr 19, 2021

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