A recipe calls 4 1/3 of container of yogurt Each container of yogurt has 150 calories. The recipe make 4 serving. Which set of calculation would give the correct number of calories per serving?

1/3 x 150 divide by 1/4
1/3 x 150 divide by 4
1/3 divide by 150 divide by 4
1/3 x 150 x 4

1 answer

To find the number of calories per serving for the recipe that calls for \(4 \frac{1}{3}\) containers of yogurt, we first need to calculate the total calories in all the yogurt used.

  1. Convert \(4 \frac{1}{3}\) to an improper fraction: \[ 4 \frac{1}{3} = \frac{13}{3} \]

  2. Calculate the total calories from the yogurt: \[ \text{Total calories} = \left(\frac{13}{3}\right) \times 150 \]

  3. Calculate the calories per serving by dividing the total calories by the number of servings (which is 4): \[ \text{Calories per serving} = \frac{\text{Total calories}}{4} \]

Putting it all together: \[ \text{Calories per serving} = \frac{\left(\frac{13}{3} \times 150\right)}{4} \]

Now, let's explore the calculation options:

  1. \(\frac{1}{3} \times 150 \div 1/4\) - Incorrect approach.
  2. \(\frac{1}{3} \times 150 \div 4\) - Also incorrect as it does not consider the multiple containers.
  3. \(\frac{1}{3} \div 150 \div 4\) - Incorrect approach, no relevance to the situation.
  4. \(\frac{1}{3} \times 150 \times 4\) - Incorrect since this would yield a much higher number.

The correct calculations should use \(\left(\frac{13}{3} \times 150\right) \div 4\).

Thus, the answer is not clearly represented in your options. The closest interpretation of the essential calculations results in:

\[ \left(\frac{13}{3} \times 150\right) \div 4 \]

If these options represent slight variations, clarify them for a more accurate answer.