Sale of eggs

Mrs. Slepičková sells at the marketplace home eggs in small boxes of 6 pieces and in large boxes of 10 pieces. Over the weekend she sold three times more small boxes than large ones, and at a price of 5 Kč per egg she took in 1680 Kč. For the boxes no payment is charged.

-Calculate how many eggs in total Mrs. Slepičková sold over the weekend.
-Calculate how many small boxes Mrs. Slepičková sold over the weekend.

Thank you very much!

Final Answer:

v =  336
a =  36

Step-by-step explanation:

$v=1680/5=336$

$$\begin{gathered} 6a+10b=v \\ a=3b \\ 6a+10\cdot a/3=v \\ 6a+10\cdot a/3=336 \\ 6\cdot a+10\cdot a/3=336 \\ 28a=1008 \\ a=\frac{1008}{28}=36 \\ a=36 \\ b=a/3=36/3=12 \end{gathered}$$

Try another example