A recipe calls for 13 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

13÷150÷4
Start Fraction 1 over 3 End Fraction divided by 150 divided by 4

13×150×4
Start Fraction 1 over 3 End Fraction times 150 times 4

13×150÷4
Start Fraction 1 over 3 End Fraction times 150 divided by 4

13×150÷14

Answer 1

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

1. Calculate total calories from yogurt:

   • Total calories from yogurt = Number of containers × Calories per container
   • Total calories = 13 containers × 150 calories/container = 1950 calories

2. Calculate calories per serving:

   • Calories per serving = Total calories ÷ Number of servings
   • Calories per serving = 1950 calories ÷ 4 servings = 487.5 calories per serving

So, the correct calculations to determine calories per serving is:

13 × 150 ÷ 4

This means the response that corresponds to this calculation would be the third option:

13 × 150 ÷ 4

Answer 2

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)
Responses

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

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

13×150÷4
Start Fraction 1 over 3 End Fraction times 150 divided by 4

1/3×150÷1/4

Answer 3

To find the number of calories per serving for a recipe that calls for \( \frac{1}{3} \) of a container of yogurt (which has 150 calories), and makes 4 servings, we can follow these steps:

1. Calculate total calories from yogurt used in the recipe: \[ \text{Total calories} = \left(\frac{1}{3} \text{ container}\right) \times (150 \text{ calories/container}) = \frac{150}{3} = 50 \text{ calories} \]

2. Calculate calories per serving: \[ \text{Calories per serving} = \frac{\text{Total calories}}{\text{Number of servings}} = \frac{50 \text{ calories}}{4 \text{ servings}} = 12.5 \text{ calories per serving} \]

The correct calculation that would yield the calories per serving is:

\( \frac{1}{3} \times 150 \div 4 \)

This means the answer that corresponds to this calculation is:

1/3 × 150 ÷ 4

Answer 4

Solve this multi-step problem. A household uses 1/4 of a 15-pound bag of rice every 3 weeks. What is the change in the number of pounds of rice in the bag of rice after 8 weeks?(1 point)
Responses

−2/3
negative Start Fraction 2 over 3 End Fraction

−10
negative 10

10
10

−90

Answer 5

To solve the problem, we first need to determine how much rice is used in 8 weeks and then calculate the change in the amount of rice left in the bag.

1. Amount of rice used every 3 weeks: \[ \text{Rice used per 3 weeks} = \frac{1}{4} \text{ of a 15-pound bag} = \frac{15}{4} \text{ pounds} = 3.75 \text{ pounds} \]

2. Number of 3-week periods in 8 weeks: \[ \text{Number of 3-week periods in 8 weeks} = \frac{8 \text{ weeks}}{3 \text{ weeks}} \approx 2.67 \text{ periods} \] However, since we must only consider complete intervals, we'll take 2 full periods.

3. Total rice used in 6 weeks (2 complete 3-week periods): \[ \text{Total rice used in 6 weeks} = 2 \times 3.75 \text{ pounds} = 7.5 \text{ pounds} \]

4. Amount of rice used in the remaining 2 weeks:

   • Since 1/4 of the 15-pound bag takes 3 weeks, we can find out how much is used per week: \[ \text{Rice used per week} = \frac{3.75 \text{ pounds}}{3} = 1.25 \text{ pounds} \]
   • In 2 weeks: \[ \text{Rice used in 2 weeks} = 2 \times 1.25 \text{ pounds} = 2.5 \text{ pounds} \]

5. Total rice used in 8 weeks: \[ \text{Total rice used in 8 weeks} = \text{Rice used in 6 weeks} + \text{Rice used in 2 weeks} = 7.5 \text{ pounds} + 2.5 \text{ pounds} = 10 \text{ pounds} \]

6. Change in the number of pounds of rice in the bag:

   • Initial amount of rice = 15 pounds
   • Amount of rice after 8 weeks = 15 pounds - 10 pounds = 5 pounds
   • Change in amount of rice = Amount left - Initial amount = 5 pounds - 15 pounds = -10 pounds

Thus, the change in the number of pounds of rice in the bag after 8 weeks is:

−10