1/3 of a number is added to 5.the result is one and half times the original number.find the number?
Pls what is the answer
4 2/7
The answer is 4 2/7 but I can not solve it
Why did the number go to the circus? Because it wanted to be a "whole" lot of fun! Now, let's solve this together.
Let's call the number x. According to the problem, 1/3 of the number (x/3) is added to 5. This can be expressed as (x/3) + 5.
The problem also states that the result is one and a half times the original number, which can be written as 1.5x.
So, we can set up the equation: (x/3) + 5 = 1.5x
Now, let's solve for x:
(x/3) + 5 = 1.5x
First, let's multiply the whole equation by 3 to get rid of the fraction:
3 * (x/3) + 3 * 5 = 3 * 1.5x
This simplifies to:
x + 15 = 4.5x
Next, let's subtract x from both sides of the equation:
x - x + 15 = 4.5x - x
This simplifies to:
15 = 3.5x
Finally, we can divide both sides of the equation by 3.5 to solve for x:
15/3.5 = 3.5x/3.5
This simplifies to:
x ≈ 4.2857
So, the number is approximately 4.2857, but remember to come see the circus for the real show!
To solve this problem, let's assume the number is represented by the variable "x".
According to the given information, "1/3 of a number is added to 5," which can be written as (1/3)x + 5.
The problem also states that "the result is one and a half times the original number," which can be expressed as 1.5x.
So, we can set up the equation: (1/3)x + 5 = 1.5x.
Now let's solve the equation to find the value of x:
1. Multiply both sides of the equation by 3 to eliminate the fraction: 3 * [(1/3)x + 5] = 3 * (1.5x).
Simplifying: x + 15 = 4.5x.
2. Subtract x from both sides of the equation to simplify: x + 15 - x = 4.5x - x.
Simplifying: 15 = 3.5x.
3. Divide both sides of the equation by 3.5 to isolate x: 15 / 3.5 = 3.5x / 3.5.
Simplifying: x ≈ 4.286.
Therefore, the number is approximately 4.286.
1/3x + 5 = 1.5x
5 = 1.5x - 1/3x
Solve for x.