Question

How can you express 15 + 30 as a multiple of a sum of whole numbers with no common factor?

- A. 2x(75 + 15)
- B. 3x(5 + 10)
- C. 5x(3 + 6)
- D. 15x(1 + 2)

Answer 1

To express 15 + 30 as a multiple of a sum of whole numbers with no common factor, the correct expression is 5x(3 + 6), which is option C.

Step-by-step explanation:

To express 15 + 30 as a multiple of a sum of whole numbers with no common factor, we need to find a sum of numbers that have no common factors. Let's analyze the options:

1. A. 2x(75 + 15) = 2x90 = 180 (which is not equal to 15 + 30)
2. B. 3x(5 + 10) = 3x15 = 45 (which is not equal to 15 + 30)
3. C. 5x(3 + 6) = 5x9 = 45 (which is equal to 15 + 30)
4. D. 15x(1 + 2) = 15x3 = 45 (which is not equal to 15 + 30)

Only option C, expressed as 5x(3 + 6), is equal to 15 + 30, so the correct answer is C.