48 equals a number increased by 6, and the sum, all multiplied by 5.
need help converting this word problem to an equation and solving.
It makes no sense. Sum of what?
This is the word problem exactly from the book. It's convertibg words to equations and solving
To convert the word problem into an equation, start by breaking it down into smaller steps:
Step 1: Let the unknown number be represented by a variable. Let's call it "x."
Step 2: Translate "48 equals a number increased by 6" into mathematical terms. This can be written as:
48 = x + 6
Step 3: Translate "the sum, all multiplied by 5" into mathematical terms. This means that the sum of 48 and the unknown number (x + 6) is multiplied by 5:
5(48 + x + 6)
Now, you have the equation:
5(48 + x + 6) = 48
To solve this equation, follow these steps:
Step 1: Distribute the 5 across the parentheses:
240 + 5x + 30 = 48
Step 2: Combine like terms:
5x + 270 = 48
Step 3: Isolate the variable term by subtracting 270 from both sides:
5x = 48 - 270
Step 4: Simplify:
5x = -222
Step 5: Divide both sides by 5 to solve for x:
x = -222/5
Therefore, the solution to the equation is x = -222/5.