The sum of five and eight times a number is the same as sixty plus three times the same number. What is the number?
just translate your English sentence into "Math"
5 + 8x = 60 + 3x
easy to solve
5 + 8n = 60 + 3n
5n = 55
n = ?
To find the number, we need to set up an equation based on the given information.
Let's assume the number is "x".
The sum of five and eight times the number "x" can be represented as: 5 + 8x.
Similarly, sixty plus three times the number "x" can be represented as: 60 + 3x.
According to the problem, the two expressions are equal, so we can set up an equation:
5 + 8x = 60 + 3x
Now, let's solve the equation to find the value of "x".
First, we can simplify the equation by subtracting 3x from both sides:
5 + 8x - 3x = 60
Combining like terms:
5 + 5x = 60
Next, we subtract 5 from both sides of the equation:
5x = 60 - 5
Simplifying:
5x = 55
Finally, divide both sides of the equation by 5 to get the value of "x":
x = 55/5
x = 11
Therefore, the number is 11.