# Number Properties Puzzle -Critical Thinking 6

Enjoy learning math with games and puzzles? Then, this great critical thinking challenge is just for you. Let’s challenge your brain!

## Challenge:

If 20% of 35% of $$\frac{2}{3}$$  of variable x equals to 15% of 12% of $$\frac{3}{2}$$ y, what is the value of x in terms of y?

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The correct answer is $$x=\frac{20}{70}y$$.

For this question, try to write an equation. Remember, you need to change percent to decimal. Then, solve for x.
20% of 35% of  $$\frac{2}{3}$$ of variable x equals to 15% of 12% of $$\frac{3}{2}$$ y.
$$0.20 × 0.35 × \frac{2}{3}X = 0.15 × 0.12 ×\frac{3}{2} y$$
$$X = \frac{0.15×0.12×\frac{3}{2}y}{0.20×0.35×\frac{2}{3}} ⇒ X =\frac{0.018×\frac{3}{2}y}{0.07×\frac{2}{3}} ⇒ X = \frac{27}{70} y$$

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