A recipe calls for 1/3 of a container of yogurt. Each container of yogurt has 150 calories. The recipe makes 4 servings. Which set of calculations would give the correct number of calories per serving?(1 point)

Question

Responses

1/3÷150÷4
Start Fraction 1 over 3 End Fraction divided by 150 divided by 4

1/3×150÷1/4
Start Fraction 1 over 3 End Fraction times 150 divided by Start Fraction 1 over 4 End Fraction

1/3×150×4
Start Fraction 1 over 3 End Fraction times 150 times 4

1/3×150÷4
Start Fraction 1 over 3 End Fraction times 150 divided by 4

Answer 1

To determine the number of calories per serving, you need to first find the total calories in the yogurt used in the recipe, and then divide that total by the number of servings.

1. Calculate the total calories in yogurt:
   Since each container of yogurt has 150 calories and the recipe calls for \( \frac{1}{3} \) of a container, the total calories from the yogurt used in the recipe is: \[ \frac{1}{3} \times 150 = 50 \text{ calories} \]

2. Divide the total calories by the number of servings:
   The recipe makes 4 servings, so to find the calories per serving, you would divide the total calories by the number of servings: \[ \frac{50 \text{ calories}}{4 \text{ servings}} = 12.5 \text{ calories per serving} \]

Now, looking at the options given:

• 1/3 ÷ 150 ÷ 4: This does not calculate the calories correctly and is not suitable.
• 1/3 × 150 ÷ 1/4: This would calculate something different and does not reflect the recipe's structure.
• 1/3 × 150 × 4: This would incorrectly multiply the calories by 4, resulting in too high a total.
• 1/3 × 150 ÷ 4: This correctly calculates the calories and then divides by the number of servings.

Thus, the correct set of calculations to find the number of calories per serving is: \[ \frac{1}{3} \times 150 \div 4 \]