GMAT Math

I have a simple math question that I'm trying to convert to a formula

OG11, problem 155 from DS:

Q:...if 3 liters of water are added to the bucket when it is half full of water, the amount of water in the bucket will increase by 1/3..

when they explain the answer they do so this way:

Q: "when 3 liters are added, the volume of water will increase by 1/3, which is equivalent to multiplying the present value by 4/3"
3 + 1/2c = 4/3(1/2c)

I understand the 3 + 1/2c.

My question to you is.. how is the 4/3 part equivalent to the "increasing by 1/3" part??

Can anyone give me a simple example demonstrating their reasoning? I'm a bit confused.. I tried to set up a sample problem using the above method but wasn't able to.

Thanks!!

maxim730 wrote:
Q: "when 3 liters are added, the volume of water will increase by 1/3, which is equivalent to multiplying the present value by 4/3"

since you couldnt get OG explanation, let me use other method.

when u add 1/3 (ie 0.33) into somethin u actually multiply original value by 1.33. that means 1+1/3 = 4/3

hope this helps

maxim730 wrote:I have a simple math question that I'm trying to convert to a formula

OG11, problem 155 from DS:

Q:...if 3 liters of water are added to the bucket when it is half full of water, the amount of water in the bucket will increase by 1/3..

when they explain the answer they do so this way:

Q: "when 3 liters are added, the volume of water will increase by 1/3, which is equivalent to multiplying the present value by 4/3"
3 + 1/2c = 4/3(1/2c)

I understand the 3 + 1/2c.

My question to you is.. how is the 4/3 part equivalent to the "increasing by 1/3" part??

Can anyone give me a simple example demonstrating their reasoning? I'm a bit confused.. I tried to set up a sample problem using the above method but wasn't able to.

Thanks!!

..... consider a number 100.... ur asked to increase it by 1/3rd.... the way to do it is add 100*1/3 to 100.... therefore the answer is 100+100/3.... which is equal to 100 ( 1+1/3) ... solve the bracket and u get 100*4/3... hope that helps...

double post... ignore....

Makes total sense. Thanks guys. So its like % increase