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Bunuel
An ice-cream stand sells two sizes of cones, Generous and Colossal. How many Colossal cones were sold one day?

(1) The total sales were $209.15.
(2) Generous cones sold for 75 cents, and Colossal cones sold for $1.25.

HI Bunuel,
Info in statements 1 and 2 do not correlate to each other..
Given individual values of cones in statement 2, the total value can never be 209.15....
both 75 cents and $1.25 are multiples of 25 cents, so their total too should be a multiple of 25
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It's like some mathwiz know the answer b4 solving.
Are u guys saying that 125(x) + 75(y) can never equal 20915?
I don't think so.

or that y & x will have many solutions?
If so, evidence please.
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Nez
It's like some mathwiz know the answer b4 solving.
Are u guys saying that 125(x) + 75(y) can never equal 20915?
I don't think so.

or that y & x will have many solutions?
If so, evidence please.


Hi,
I will take the equation that you have written..
125(x) + 75(y)...
1) here x and y have to be integer, as cones can't be purchased as a fraction of totall..
2) 125x+75y= 25(5x+3y)...
what does this tell us ...
5x +3y has to be some integer and that integer is multiplied by 25....
so our answer has to be a multiple of 25..


lets see 20915...
how do you know whether a number is a multiple of 25..

its last two digits should be divisible by 25...
so last two digits should be 25, 50, 75, or 00..

this is not the case with 20915..

that is why i said 125x+75y \(\neq{20915}\)..
i hope it makes sense now..
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Nez
It's like some mathwiz know the answer b4 solving.
Are u guys saying that 125(x) + 75(y) can never equal 20915?
I don't think so.

or that y & x will have many solutions?
If so, evidence please.

75G + 125 C = 20915
which can be written as:
5 (3G + 5C) = 4123

4123 is not a multiple of 5 so there is no solution whereby G and C are both integers
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Statement 1 just gives us the total sales clearly insufficient
Statement 2 gives us individual pricing for both cones but we don't know how much cones
even after combining we don't get the answer as we need the total number of cones to solve the problem
correct answer - E
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