Solve: [tex]\frac{1}{4}[/tex] of [tex]$x$[/tex] is 6
Answer (2)
Write the equation: 4 1 x = 6 .
Multiply both sides by 4: 4 × 4 1 x = 4 × 6 .
Simplify: x = 4 × 6 .
Calculate the value of x: x = 24 .
Explanation
Write the equation We are given that 4 1 of x is 6. This can be written as an equation: 4 1 x = 6
Multiply both sides by 4 To solve for x , we need to isolate x on one side of the equation. We can do this by multiplying both sides of the equation by 4: 4 × 4 1 x = 4 × 6
Simplify Simplifying the left side, we have: x = 4 × 6
Calculate x Now, we multiply 4 and 6 to find the value of x : x = 24
Final Answer Therefore, the solution is x = 24 .
Examples
Imagine you're baking a cake and the recipe calls for 4 1 cup of sugar, but you want to make a cake that tastes exactly like it should, but is larger. If you know that 4 1 of the total sugar needed is equivalent to 6 tablespoons, you can use this math to find out how many tablespoons of sugar you need in total. This is a direct application of solving for x when 4 1 x = 6 , where x represents the total amount of sugar needed. Understanding this helps in scaling recipes accurately.
To find x where 4 1 x = 6 , we multiply both sides by 4, resulting in x = 24 . This means that if we take a quarter of 24, we get 6. Hence, the final answer is x = 24 .
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