Melody

Yes they are very deep questions

@@ End of Day Wrap  Wed 5/8/15     Sydney, Australia Time   12:18am  (Yes it is Thursday) ♪ ♫

Hi all,

There have been fabulous answers from Heureka, CPhill, Dragonlance, Royal Titanium aka TR, Geno3141, Biotomic121 and Dritil.  Thanks you.  

Yes, we agree, this question has no solutions.   

Chris, could you try this one please :)

let there be x short sleeve shirts and y long sleeve shirts.

profit will be $3 for each short sleeve and $6 for each long sleeve

so                3x+6y=1325

cost will be   5x+7y=2450

I have tried solving this simultaneously but it does not work.   

Well if it is a isosceles right angled triangle then the legs would be the same.

$$\\x^2+x^2=(15\sqrt6)^2\\\\
2x^2=225*6\\\\
x^2=225*3\\\\
x=15\sqrt3$$

You cannot give yourself 3 points and I can't give you 3 points either.

You are right, the forum is playing up!  Maybe it just doesn't like you tonight?   :))

Aren't you going to give yourself 3 points Chris ?  :)

Yes it is one for me and one for you tonight Chris.

I saw 'sum' instead of 'difference'.  Sorry Maia.

Hi Maia,

a+b=10

so

b=10-a

ab=504

a(10-a)=504

-a^2+10a-504=0

a^2-10a+504=0

$${{\mathtt{a}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{a}}{\mathtt{\,\small\textbf+\,}}{\mathtt{504}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{a}} = {\mathtt{5}}{\mathtt{\,-\,}}{\sqrt{{\mathtt{479}}}}{\mathtt{\,\times\,}}{i}\\
{\mathtt{a}} = {\sqrt{{\mathtt{479}}}}{\mathtt{\,\times\,}}{i}{\mathtt{\,\small\textbf+\,}}{\mathtt{5}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{a}} = {\mathtt{5}}{\mathtt{\,-\,}}{\mathtt{21.886\: \!068\: \!628\: \!239\: \!289\: \!2}}{i}\\
{\mathtt{a}} = {\mathtt{5}}{\mathtt{\,\small\textbf+\,}}{\mathtt{21.886\: \!068\: \!628\: \!239\: \!289\: \!2}}{i}\\
\end{array} \right\}$$

There are no real solutions to this .