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OG12 #54: Max and his bills

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by Fractal » Thu Sep 16, 2010 4:32 am
Max has $125 consisting of bills each worth either $5 or $20. How many bills worth $5 does Max have?

(1) Max has fewer than 5 bills worth $5 each

OG says to (1): Given that x<5, then x=0, 1, 2, 3, or 4.

My question is not about the solution of this exercise, but about the explanation of OG: why could x be 0? It is written that Max has $125 consisting of bills each worth either $5 or $20. --> at least for me, this means, that Max has at least one $5 bill and at least one 20$ bill?

does anybody agree?
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Source: — Data Sufficiency |
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by kmittal82 » Thu Sep 16, 2010 5:09 am
He needs to have atleast one $5 bill, you can't make $125 with just $20 bills :)
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by Fractal » Thu Sep 16, 2010 5:13 am
yes sure! the solution for this exercise is clear! but i mean in general, for other exercises! it is confusing me, that in the solution, og says tha x could be =0!
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by debmalya_dutta » Thu Sep 16, 2010 5:20 am
Fractal wrote:yes sure! the solution for this exercise is clear! but i mean in general, for other exercises! it is confusing me, that in the solution, og says tha x could be =0!
X=0 can also be a possibility based on the situation. Suppose the problem mentioned that this person had $120, then X(= number of $5 bills) could have been zero
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by Fractal » Thu Sep 16, 2010 5:25 am
what about the difference between

either... or...

and

both or either...

related to this context?
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