The sum of 8 and a number divided by 3 equals 6. Find the number.(1 point)
Responses
6
6
−23
negative 2 thirds
-6
-6
52
52
To find the number, we can set up an equation based on the given information.
The sum of 8 and a number divided by 3 equals 6 can be written as:
(8 + x) / 3 = 6
To solve for the unknown number, x, we need to isolate it on one side of the equation.
Multiply both sides of the equation by 3:
3 * ((8 + x) / 3) = 3 * 6
Simplify:
8 + x = 18
Subtract 8 from both sides of the equation:
8 + x - 8 = 18 - 8
Simplify:
x = 10
Therefore, the number is 10.
To find the number, let's break down the given information:
1. The sum of 8 and a number: Let's represent the unknown number as "x". So, we have 8 + x.
2. Divided by 3: We divide the expression (8 + x) by 3, giving us (8 + x)/3.
3. Equals 6: According to the problem, this expression is equal to 6. So, we have the equation (8 + x)/3 = 6.
To find the value of x, we can solve the equation step by step:
1. Multiply both sides of the equation by 3 to eliminate the fraction: 3 * (8 + x)/3 = 6 * 3.
This simplifies to (8 + x) = 18.
2. Subtract 8 from both sides of the equation to isolate x: (8 + x) - 8 = 18 - 8.
This simplifies to x = 10.
Therefore, the number we are looking for is x = 10.
Let's call the number x. The given equation can be written as:
(8 + x) / 3 = 6
To solve for x, we can multiply both sides of the equation by 3:
8 + x = 18
Now, subtract 8 from both sides:
x = 10
So, the number is 10.