Task 358
Task 358: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. Sets $A$ and $B$, shown in the Venn diagram, are such that the total number of elements in set $A$ is twice the total number of elements in set $B$. Altogether, there are 3011 elements in the union of…
The task
Sets $A$ and $B$, shown in the Venn diagram, are such that the total number of elements in set $A$ is twice the total number of elements in set $B$. Altogether, there are 3011 elements in the union of $A$ and $B$, and their intersection has 1000 elements. What is the total number of elements in set $A$? [asy] label("$A$", (2,67)); label("$B$", (80,67)); draw(Circle((30,45), 22)); draw(Circle((58, 45), 22)); label("1000", (44, 45)); [/asy]