Question 4

The value of the expression 3(100 - 10) - (20 - 5) is 255.

To find the value of the expression, we first simplify it step by step. Calculating inside the parentheses, we have 100 - 10 = 90 and 20 - 5 = 15. Thus, the expression becomes 3 * 90 - 15, which equals 270 - 15, resulting in a final value of 255.

A) 245

Option A is incorrect because the value of the expression is not equal to 245. When calculated correctly, the expression yields 255, which is significantly higher than 245.

B) 255

Option B is correct as it accurately represents the value of the expression. After evaluating the operations, the expression simplifies to 255, confirming that this is the right answer.

C) 265

Option C is incorrect since the calculated value of 265 does not match the result from the expression. The steps taken to evaluate the expression do not lead to this outcome.

D) 275

Option D is also incorrect because the value of the expression does not reach 275. Following the expression's calculations, we find that 255 is the correct result, making 275 an inaccurate option.

Conclusion

The correct answer is 255, as verified through the step-by-step simplification of the expression. All other options fail to represent the accurate value derived from the operations performed, demonstrating that they are not valid answers to the question posed.