Question

Form an equation representing the following statement in mathematical symbols: 'When a number has 6 added to it, and then the result is divided by 3, the result is the same as adding 1 to the number.

1.x+6 / 3=x+1
2.x / 3+6=x+1
3.x+6 / 3=x+1
4.x+6 / x=3+1

Answer 1

The correct mathematical equation for the given statement is (x + 6) / 3 = x + 1, which represents adding 6 to a number, dividing the result by 3, and equating it to the original number plus 1.

Step-by-step explanation:

To represent the given statement 'When a number has 6 added to it, and then the result is divided by 3, the result is the same as adding 1 to the number' in mathematical symbols, we need to create an equation that reflects this condition. Let x be the unknown number. First, we add 6 to x, giving us x + 6. Next, we divide this sum by 3, so we write (x + 6)/3. According to the statement, this quantity is equal to the number x plus 1, which gives us x + 1. Therefore, the equation is:

(x + 6)/3 = x + 1

Now, let's verify the other options provided to ensure we have the correct equation:

• x + 6 / 3 = x + 1 - Incorrect, lacks parentheses indicating the order of operations.
• x / 3 + 6 = x + 1 - Incorrect, alters the order in which we add 6 and divide by 3.
• (x + 6) / 3 = x + 1 - Correct, represents the given statement properly.
• x + 6 / x = 3 + 1 - Incorrect, it confuses divisions and alters the given conditions.