Zabato is thinking of a number. Three times the sum of the number and ten is the same as eight times the number. What is Zabatos number?
Help! so confused thank you!
3(x + 10) = 8x
3x + 30 = 8x
30 = 5x
6 = x
To solve this problem, let's break it down step-by-step.
Step 1: Assign a variable to represent Zabato's number.
Let's say Zabato's number is represented by the variable "x."
Step 2: Write the equation using the given information.
According to the problem, three times the sum of the number (x) and ten is the same as eight times the number (x). This can be written as:
3(x + 10) = 8x
Step 3: Simplify the equation.
Multiply 3 by the sum of x and 10:
3x + 30 = 8x
Step 4: Isolate the variable.
To isolate the variable x, we need to get all the x terms on one side of the equation. In this case, we'll subtract 3x from both sides:
30 = 5x
Step 5: Solve for x.
To solve for x, divide both sides of the equation by 5:
x = 30/5
Simplifying further:
x = 6
Therefore, Zabato's number is 6.
To find Zabato's number, we can start by breaking down the information given in the problem.
Let's assume Zabato's number is represented by "x". According to the problem, "Three times the sum of the number and ten is the same as eight times the number." We can write this as an equation:
3(x + 10) = 8x
Now, let's solve the equation step by step:
1. Distribute 3 to both x and 10:
3x + 30 = 8x
2. Subtract 3x from both sides to isolate the variable:
30 = 8x - 3x
= 5x
3. Divide both sides by 5 to solve for x:
30/5 = 5x/5
6 = x
Therefore, Zabato's number is 6.