Number Properties Puzzle -Critical Thinking 6

Number Properties Puzzle -Critical Thinking 6: this Effortless Math guide explains the topic in plain language, shows how it works through solved examples, and gives you free practice to try immediately, so the idea sticks instead of staying abstract.

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

Number Properties Puzzle -Critical Thinking 6

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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