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## Comment on

Students at ABC Academy## After you get G, why not plug

## Once we know that G = 60, we

Once we know that G = 60, we find the value of B by plugging G = 60 into an equation that relates both G and B. The equation 3G = 5B is such an equation.

To answer your specific question, we need to consider what G - 20 is. First off, it isn't even an equation; it's an algebraic expression that represents the number of girls remaining AFTER 20 girls leave. So, plugging G = 60 into that expression will just tell us that there are 40 girls remaining after 20 girls leave. This will not (directly) tell us the value of B (number of boys).

## Hello, I am loving your

I did it like this:

(5x-20/3x-20) = 5/2; solve for x; x = 12

the answer will be 8x = 96

## Perfect solution!!

Perfect solution!!

## I started trying to do this

## I'm not a big fan of the

I'm not a big fan of the approach of representing the boys and girls with 5x and 3x.

I feel there are a couple of potential pitfall that may occur on test day.

Here's the rationale that people use when applying this technique:

If we say 5x = number of boys

And say 3x = number of girls

Then the ratio of boys to girls = 5x/3x = 5/3

We get: (5x-20))/(3x-20) = 5/2

Solve for x to get: x = 12

The question ask us for the TOTAL number of children.

Since 5x = number of boys, and 3x = number of girls, the total number of children = 5x + 3x = 8x

So, we must evaluate 8x for x = 12

We get: 8(12) = 96

Does that help?

Cheers, Brent

## im confused on how you get G

## Start with: 2G + 60 = 3G

Start with: 2G + 60 = 3G

Subtract 2G from both sides to get: 60 = 1G

In other words, G = 60

More on solving equations here: https://www.greenlighttestprep.com/module/gre-algebra-and-equation-solvi...

Cheers,

Brent

## Great, thank you!

## How do you know that they are

## It all comes down to verb

It all comes down to verb tense.

The first sentence tells us that the ratio IS (present tense) 5 : 3, which means this is the PRESENT ratio.

The second sentence, with IF and WERE, tells us about a HYPOTHETICAL scenario that COULD happen, which would change the ratio of students.

The last sentence asks, "How many children ATTEND (present tense) ABC school?"

So, the question is asking for the CURRENT (present) number of students. That is, we want to determine the number of students BEFORE any hypothetical changes occurred.

Does that help?

Cheers,

Brent

## My approach was different.

Since we know the number students who attended ABC academy must be some multiple of (5+3=8), and then the remaining students after 20 girls and 20 boys had left will be some

multiple of ( 2+5=7). You'll realize its only the 96 that meets those conditions

## Perfect approach - great work

Perfect approach - great work!!!

## I just wanted to know if my

2x + 5x = x - 40 (this was pertaining to to the statement that 20 boys and 20 girls were to leave the school, along with the corresponding ratio of 2:5)

after solving for x i got 8, which i plugged back into each corresponding value to get 2(8)= 16 and 5(8)=40 that added up to 56, then i added the 40 back to the number of students that left to get 96.

## It's hard for me to tell

It's hard for me to tell whether that solution is valid.

What does x represent?

Also, can you explain the steps you took to get the equation 2x + 5x = x - 40?

## I have an interesting

Initially, the ratio is 5:3 and after subtracting 20 boys and girls, the ratio becomes 2:5.

Let x be the total number of students, so x-40 will be the number of students later (20 boys and 20 girls).

Since the number of students can't be fractions, x-40 should be divided by 7 (as the ratio is 2:5).

The only option E satisfies this condition. 96-40 = 56 which is divisible by 7.

## Perfect reasoning!! Nice work

Perfect reasoning!! Nice work!!

## Thanks Brent. :)

## In this question once we get

## All of that is correct, Ravin

All of that is correct, Ravin.

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