7
algebra

Which value of xx satisfies x20=2\frac{x}{20} = 2?

A

0.1

B

40

C

22

D

10

Correct Answer: B

Choice Bhoice C is the correct answer. We multiply to find which value makes the equation true.

  1. Start with the equation: x20=2\frac{x}{20} = 2
  2. Multiply both sides by 20: x=2×20x = 2 \times 20
  3. Calculate: x=40x = 40
  4. Verify: 4020=2\frac{40}{20} = 2

💡 Quick Check: Think "20 times what equals 40? Answer: 2!" or "40 divided by 20 equals 2."

Choice A is incorrect because this results from adding: 20+2=2220 + 2 = 22. Addition is not the inverse of division.

Choice B is incorrect because this comes from dividing 20 by 2 instead of multiplying: 202=10\frac{20}{2} = 10. This is backwards reasoning.

Choice D is incorrect because this results from dividing 2 by 20: 220=0.1\frac{2}{20} = 0.1. This divides in the wrong direction.