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I have a bag with yellow and blue marbles in it. At the moment, the ratio of blue marbles to yellow marbles is 4:3. If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3. How many blue marbles were in the bag before I added more?

 Oct 2, 2019
 #1
avatar+28205 
+2

You can construct two equations from this as follows:

 

Let b be the original number of blue marbles and y the original number of yellow marbles.

 

Then  \(\frac{b}{y}=\frac{4}{3}\\\frac{b+5}{y-3}=\frac{7}{3}\)

 

Solve these simutaneous equations for b.

 Oct 2, 2019
 #2
avatar+10644 
+2

I have a bag with yellow and blue marbles in it. At the moment, the ratio of blue marbles to yellow marbles is 4:3. If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3. How many blue marbles were in the bag before I added more?

laugh

 Oct 2, 2019

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