Question 3 (5 points)
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[tex]$9 / 11=? / 22$[/tex]
Answer (1)
Set up the proportion: 11 9 = 22 x .
Multiply both sides by 22: x = 11 9 × 22 .
Simplify the expression: x = 9 × 2 .
The missing value is: 18 .
Explanation
Understanding the Problem We are given the equation 11 9 = 22 ? and we need to find the missing value. Let's call the missing value x . So, the equation becomes 11 9 = 22 x .
Isolating x To find the value of x , we need to isolate it on one side of the equation. We can do this by multiplying both sides of the equation by 22: 11 9 × 22 = 22 x × 22
Simplifying the Equation Now, we simplify the equation: 11 9 × 22 = x 9 × 11 22 = x 9 × 2 = x 18 = x So, x = 18 .
Finding the Missing Value Therefore, the missing value is 18.
Examples
Imagine you are scaling a recipe. The original recipe calls for 9 cups of flour and yields 11 servings. You want to make 22 servings. This problem helps you determine how many cups of flour you need for the scaled recipe. By setting up a proportion, you can find the amount of flour needed for 22 servings, ensuring the recipe maintains its original taste and consistency.
