The sum of 8 and a number divided by 3 equals 6. Find the number.(1 point)
6
−2/3
-6
52
Let the number be x.
The equation can be written as (8 + x)/3 = 6.
Multiplying both sides of the equation by 3, we get 8 + x = 18.
Subtracting 8 from both sides, we get x = 10.
Therefore, the number is 10.
To find the number, we can set up an equation based on the information given.
The sum of 8 and a number divided by 3 equals 6 can be written as:
(8 + x)/3 = 6
To solve for x, we can multiply both sides of the equation by 3 to get rid of the fraction:
3 * [(8 + x)/3] = 3 * 6
This simplifies to:
8 + x = 18
Next, we can isolate x by subtracting 8 from both sides of the equation:
x = 18 - 8
x = 10
Therefore, the number is 10.
To find the number in the equation, let's break it down step by step:
1. We're given the statement "The sum of 8 and a number divided by 3 equals 6." This can be written as an equation: (8 + x) / 3 = 6, where x represents the unknown number.
2. To isolate x, we need to get rid of the division by 3. We can do this by multiplying both sides of the equation by 3: (8 + x) / 3 * 3 = 6 * 3.
3. Simplifying the equation, we have 8 + x = 18.
4. Subtracting 8 from both sides of the equation, we get x = 18 - 8.
5. Simplifying further, x = 10.
So, the number that solves the equation is 10.