Solve $x / 6=20$.
A) $x=14$
B) $x=3$
C) $x=120$
D) $x=26$
Answer (2)
The problem gives the equation x /6 = 20 .
Multiply both sides of the equation by 6 to isolate x : 6 x × 6 = 20 × 6 .
Simplify the equation: x = 120 .
The solution to the equation is 120 .
Explanation
Understanding the Problem We are given the equation x /6 = 20 and we need to find the value of x that satisfies this equation.
Isolating x To isolate x , we need to multiply both sides of the equation by 6. This will cancel out the division by 6 on the left side, leaving us with just x on one side.
Performing the Multiplication Multiplying both sides of the equation x /6 = 20 by 6, we get: 6 x × 6 = 20 × 6
Simplifying the Equation Simplifying the equation, we have: x = 120
Finding the Answer Therefore, the solution to the equation x /6 = 20 is x = 120 . Looking at the multiple-choice options, we see that option C) x = 120 is the correct answer.
Examples
Imagine you are baking a cake and the recipe calls for a certain amount of flour. However, you only want to make a fraction of the cake. If the original recipe requires x grams of flour and you want to make 1/6 of the cake, you would need x /6 grams of flour. If you know that x /6 should be 20 grams, you can solve the equation x /6 = 20 to find the amount of flour needed for the full recipe, which is 120 grams. This kind of proportional reasoning is useful in many real-life situations, such as scaling recipes, calculating distances on maps, or determining the amount of ingredients needed for a project.
To solve 6 x = 20 , we multiply both sides by 6 to isolate x , resulting in x = 120 . Therefore, the correct answer is C) x = 120 .
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