5
algebra

Solve: 20x=10020x = 100

A

80

B

5

C

120

D

2000

Correct Answer: B

Choice Bhoice D is the correct answer. This multiplication equation with friendly numbers makes division straightforward.

  1. Start with the equation: 20x=10020x = 100
  2. Divide both sides by 20: x=10020x = \frac{100}{20}
  3. Simplify: x=5x = 5
  4. Verify: 20(5)=10020(5) = 100

💡 Mental Math: Think "20 times what equals 100?" Since 20×5=10020 \times 5 = 100, the answer is 5.

Choice A is incorrect because this results from subtracting: 10020=80100 - 20 = 80. Subtraction is not the inverse of multiplication.

Choice B is incorrect because this comes from adding: 100+20=120100 + 20 = 120. Addition doesn't undo multiplication.

Choice D is incorrect because this results from multiplying: 100×20=2000100 \times 20 = 2000. This makes the product larger instead of isolating xx.