The two scales shown are balanced. Which of the following is not true?

(A) $\mathrm{O}=\triangle$

(B) $\triangle \triangle=O \square \square \square$

(C) $\bigcirc=\square \square \square$

(D) $O \triangle=\square \square \square \square$

(E) $\triangle=\square \square \square$
![](https://cdn.mathpix.com/cropped/2024_04_20_6027bc27089ed4fc493cg-032.jpg?height=332&width=376&top_left_y=2175&top_left_x=1294)
The first scale shows that $2 \bigcirc$ 's balance $6 \square$ 's and so $1 \bigcirc$ balances $3 \square$ 's.

Thus, we may eliminate answer (C).

The second scale shows that $2 \bigcirc$ 's and $6 \square$ 's balance $4 \triangle$ 's and so $1 \bigcirc$ and $3 \square$ 's balance 2 $\triangle$ 's.

Thus, we may eliminate answer (B).

Since $1 \bigcirc$ and $3 \square$ 's balance $2 \triangle$ 's and $1 \bigcirc$ balances $3 \square$ 's, then $6 \square$ 's balance $2 \triangle$ 's or $3 \square$ 's balance $1 \triangle$.

Thus, we may eliminate answer (E).

Since $1 \bigcirc$ balances $3 \square$ 's, and $1 \triangle$ balances $3 \square$ 's, then $1 \bigcirc$ balances $1 \triangle$.

Thus, we may eliminate answer (A).

Finally, we are left with answer (D).

Since $1 \bigcirc$ balances $3 \square$ 's and $1 \triangle$ balances $3 \square$ 's, then $1 \bigcirc$ and $1 \triangle$ balance $6 \square$ 's, not $4 \square$ 's. Thus, answer (D) is the only answer which is not true.

ANSWER: (D)