Roller dice weight

Two rollers weigh the same as three dice. One roller with two dice weighs the same as three with a weight of 250 grams. How many grams does the roller weigh, and how many dice?

Final Answer:

v =  750 g
k =  500 g

Step-by-step explanation:

$$\begin{gathered} 2\cdot v=3\cdot k \\ v+2\cdot k=3\cdot k+250 \\ 3k-2v=0 \\ k-v=-250 \\ Row2-\frac{1}{3}\cdot Row1\to Row2 \\ -0.33v=-250 \\ v=\frac{-250}{-0.33333333}=750 \\ k=\frac{0+2v}{3}=\frac{0+2\cdot 750}{3}=500 \\ k=500 \\ v=750=750\text{g} \end{gathered}$$

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