Question

Which equation represents this sentence?

3 times the difference of 6 and a number is equal to 15
3 (6-x) = 15
06-3x = 15
3x6 = 15
3 (x-6) = 15

Answer 1

The equation that represents the sentence is 3(6 - x) = 15. The solution is x = 1.

Step-by-step explanation:

The equation that represents the sentence '3 times the difference of 6 and a number is equal to 15' is: 3(6 - x) = 15. In this equation, 'x' represents the unknown number.

To solve the equation, you would distribute the '3' to '6' and '-x', resulting in 18 - 3x = 15. Then, you would isolate the variable 'x' by moving constants to one side and the variable term to the other side. After simplifying further, you would find the value of 'x' which would be 1.

Thus, 'x = 1' satisfies the given condition of the sentence.

Learn more about Equations representing word problems