Solve for the variable in [tex]$6 / 18=x / 36$[/tex]
A) 6
B) 12
C) 3
D) 9
Answer (1)
Start with the equation 18 6 = 36 x .
Multiply both sides by 36 to get x = 18 6 × 36 .
Simplify the fraction to get x = 3 1 × 36 .
Calculate the value of x to find the final answer: 12 .
Explanation
Understanding the Problem We are given the equation 18 6 = 36 x and we need to solve for the variable x .
Isolating x To solve for x , we can multiply both sides of the equation by 36: x = 18 6 × 36
Simplifying the Fraction Now, we simplify the fraction 18 6 by dividing both the numerator and the denominator by their greatest common divisor, which is 6: 18 6 = 18 ÷ 6 6 ÷ 6 = 3 1 So, the equation becomes: x = 3 1 × 36
Calculating x Finally, we multiply 3 1 by 36: x = 3 36 = 12 Therefore, the value of x is 12.
Final Answer The solution to the equation 18 6 = 36 x is x = 12 .
Examples
Imagine you are scaling a recipe. The original recipe calls for 6 grams of salt for every 18 servings. You want to make 36 servings. This problem helps you determine how many grams of salt you need for the scaled recipe. Understanding proportions is crucial in cooking, baking, and adjusting quantities in various real-life scenarios.
