Question

If 6 is multiplied by the difference of a number and 5, the result is 30. Which equation could be used to find the value of the number?

A. 6(x - 5) = 30
B. 6x – 5 = 30
C. 6(x + 5) = 30
D. 6x + 5 = 30

Answer 1

To find the value of a number where 6 times the difference of that number and 5 equals 30, the correct equation is A. 6(x - 5) = 30.

Step-by-step explanation:

If 6 is multiplied by the difference of a number and 5, the result is 30. The equation that could be used to find the value of the number is:

A. 6(x - 5) = 30

This is because the difference of a number and 5 is represented by (x - 5), and when this difference is multiplied by 6, it should equal 30 which matches the given condition. Let's go through the options step-by-step:

• 6(x - 5) means the difference (x - 5) is multiplied by 6.
• 6x – 5 implies adding and subtracting rather than multiplying a difference by 6.
• 6(x + 5) suggests adding 5 to x before multiplying by 6, which is not what the condition states.
• 6x + 5 again is not following the condition that we are multiplying the difference of x and 5 by 6.

Therefore, the correct equation is A. 6(x - 5) = 30.