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## Comment on

Combining Ratios## HI ADMIN, CAN U PLS EXPLAIN

HI ADMIN, CAN U PLS EXPLAIN ME BELOW QUE.

THE RATIO OF PENCILS' NUMBER TO THE PENS' NUMBER IS 5 TO 3. IF THE PENS' NUMBER EXCEEDS 2/5 THE PENCILS' NUMBER BY 4 , WHAT IS PENS' NUMBER?

## You bet!

You bet!

Let C = # of pencils

Let N = # of pens

"THE RATIO OF PENCILS' NUMBER TO THE PENS' NUMBER IS 5 TO 3"

So, C/N = 5/3

Cross multiply to get: 3C = 5N

"THE PENS' NUMBER EXCEEDS 2/5 THE PENCILS' NUMBER BY 4"

N = (2/5)C + 4

Multiply both sides by 5 to get: 5N = 2C + 20

We now have two equations:

3C = 5N

5N = 2C + 20

Since both equations are set equal to 5N, we can write: 3C = 2C + 20

Solve to get: C = 20

If C = 20, then N = 12

So, there are 12 pens and 20 pencils

## Got You. I often confuse with

## just to add something =)

we could also simplify 24/T=3/4 --> 8/T = 1/4

may help with more hairy problems =)

## Looks good to me!

Looks good to me!

## Hi Brent! Could you please

https://gmatclub.com/forum/the-ratio-by-volume-of-soap-to-alcohol-to-water-in-a-68933.html

## Here's my full solution:

Here's my full solution: https://gmatclub.com/forum/the-ratio-by-volume-of-soap-to-alcohol-to-wat...

Cheers,

Brent

## We can do this right?

P/B*B/T= 5/2*3/4

P/T=15/8

P=60

T=8/15*60=32

## That's a perfectly valid

That's a perfectly valid solution. Nice work!

Cheers,

Brent

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