Questions: The product of 3.8 and a number is 67.

Transcript text: The product of 3.8 and a number is 67.

Solution

Solution Steps

To translate the given sentence into an equation, identify the key components: "the product of 3.8 and a number" suggests multiplication, and "is 67" indicates equality. Use \( x \) to represent the unknown number.

Step 1: Translate the Sentence into an Equation

The sentence "The product of 3.8 and a number is 67" can be expressed mathematically as: \[ 3.8x = 67 \]

Step 2: Solve the Equation

To find the value of \( x \), we isolate \( x \) by dividing both sides of the equation by 3.8: \[ x = \frac{67}{3.8} \]

Step 3: Calculate the Value of \( x \)

Performing the division gives: \[ x \approx 17.6316 \]

Final Answer

Thus, the solution to the equation is: \[ \boxed{x \approx 17.6316} \]

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