Math

QuestionFind the missing servings value in the ratio table given calories: 25, 50, and servings: 13\frac{1}{3}, 1, 43\frac{4}{3}.

Studdy Solution

STEP 1

Assumptions1. The ratio between calories and servings is constant. . The ratio can be calculated using the given values in the table.

STEP 2

First, we need to find the ratio of calories to servings. We can do this by dividing the number of calories by the number of servings.
Ratio=CaloriesServingsRatio = \frac{Calories}{Servings}

STEP 3

Now, plug in the given values for calories and servings to calculate the ratio.
Ratio=2513Ratio = \frac{25}{\frac{1}{3}}

STEP 4

Calculate the ratio.
Ratio=2513=75Ratio = \frac{25}{\frac{1}{3}} =75

STEP 5

Now that we have the ratio, we can use it to find the missing number of servings. We can do this by dividing the number of calories by the ratio.
Servings=CaloriesRatioServings = \frac{Calories}{Ratio}

STEP 6

Plug in the values for calories and ratio to calculate the servings.
Servings=5075Servings = \frac{50}{75}

STEP 7

Calculate the servings.
Servings=5075=23Servings = \frac{50}{75} = \frac{2}{3}So, the missing number of servings for50 calories is 23\frac{2}{3}.

STEP 8

Now, we can use the ratio again to find the missing number of calories. We can do this by multiplying the number of servings by the ratio.
Calories=ServingstimesRatioCalories = Servings \\times Ratio

STEP 9

Plug in the values for servings and ratio to calculate the calories.
Calories=times75Calories = \\times75

STEP 10

Calculate the calories.
Calories=times75=75Calories = \\times75 =75So, the missing number of calories for serving is75.

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