8
algebra

If x+47=100x + 47 = 100, what is the value of xx?

A

47

B

2.13

C

147

D

53

Correct Answer: D

Choice Dhoice C is the correct answer. This is a practical problem involving nice round numbers.

  1. Start with the equation: x+47=100x + 47 = 100
  2. Subtract 47 from both sides: x=10047x = 100 - 47
  3. Calculate: x=53x = 53
  4. Verify: 53+47=10053 + 47 = 100

💡 Mental Math: You can think of this as "what number plus 47 equals 100?" Counting up from 47 to 100 gives you 53.

Choice A is incorrect because this results from adding instead of subtracting: 100+47=147100 + 47 = 147. This is the wrong inverse operation.

Choice C is incorrect because this confuses the constant (47) with the solution. Just because 47 appears in the equation doesn't make it the answer.

Choice D is incorrect because this results from dividing: 100472.13\frac{100}{47} \approx 2.13. Division is not relevant for this addition equation.