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31 Aug 2019, 14:31
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Hello, I am in doubt right now. I hope you can help me
When it is written " there is twice as many A as B ... ". How do you translate it in an equation ?
A = 2B
or
2A=B
I know it's dumb question but my mind is blocked on this one...
When it is written " there is twice as many A as B ... ". How do you translate it in an equation ?
A = 2B
or
2A=B
I know it's dumb question but my mind is blocked on this one...
31 Aug 2019, 14:52
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Coggi
Not a dumb question at all. The statement you quoted has potential to be confusing.
The best advice is to read the statement in it's simplest form, starting from the left and proceeding to the right.
If you follow the above process, you will start with the clause "twice as many A". This implies that the quantity of A is two times or double the quantity of something else, which here is B.
So if there are a dozen items of B, you will have double that number for A, which would be 24. That is, A=2B.
Alternatively, to obtain the equation 2A=B, you would translate the following sentence: "There are half as many A as there are B."
Note that some texts use improper language usage to invert the two statements. You must go with GMAT language.
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07 Sep 2019, 17:12
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Coggi
You can also try plugging in some example numbers to test your equations. (I do this pretty much every time I see this language in a problem, just to be extra safe.)
If there are twice as many apples as bananas, then it would make sense to have ten apples and five bananas. So, A = 10 and B = 5 would be a good set of numbers to pick.
Plug those into your equations:
A = 2B?
10 = 2(5)
10 = 10
That makes sense, so A = 2B is the right equation.
2A = B?
2(10) = 5
20 = 5
That doesn't make sense, so 2A = B is the wrong equation.
The right equation will always give you a logical result when you plug in numbers that fit what the problem says.
