Alan

You need more information if you want to find the values of both n and m.  You have one equation and two unknowns.  You need another, independent equation.

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$$\frac{10^6}{10^{-6}}=10^6\times10^6=10^{12}$$

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Just use the calculator on the home page here to multiply 8.925 by 85.

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Yes, on the top line, just to the right of the e.

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But the number 15 is specified and there is no 15₅.

I like your lateral thinking though!  Try it with numbers to the base 7 (make sure the they are all odd).

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Let b = number of tickets bought before and d = number bought at the door.  Then

b + d = 478                      (1)

2b + 3d = 1110                (2)

Double all terms in (1)

2b + 2d = 956                   (3)

Subtract (3) from (2) term by term:

3d - 2d = 1110 - 956

d =  154

Put this back into (1):

b + 154 = 478

Subtract 154 from both sides:

b = 324

So there were 324 tickets bought before and 154 at the door.

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if it's the linear dimensions that increase by a factor of three then the volume will increase by a factor of 3 cubed = 27.  That is, the volume will be 27 times greater.

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It doesn't factor nicely if you want it in the form (x - a)(x - b) with a and b as whole numbers.

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Nice try Badinage, but the question specifies odd numbers and 11₅ and 13₅ are even numbers!

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Some! 

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