Answer :
To calculate the total kilocalories for each food item, we need to know the number of calories provided per gram of each macronutrient:
- Carbohydrate: 4 kcal per gram
- Fat: 9 kcal per gram
- Protein: 4 kcal per gram
We'll use this information to find the total kilocalories for Pizza, Cola, and Ice Cream.
### Step-by-Step Solution:
#### 1. Pizza
- Carbohydrates: 29 grams
- Fats: 10 grams
- Proteins: 13 grams
Calculating calories:
- From Carbohydrates: [tex]\( 29 \, \text{grams} \times 4 \, \text{kcal/gram} = 116 \, \text{kcal} \)[/tex]
- From Fats: [tex]\( 10 \, \text{grams} \times 9 \, \text{kcal/gram} = 90 \, \text{kcal} \)[/tex]
- From Proteins: [tex]\( 13 \, \text{grams} \times 4 \, \text{kcal/gram} = 52 \, \text{kcal} \)[/tex]
Total calories:
[tex]\[ 116 \, \text{kcal} + 90 \, \text{kcal} + 52 \, \text{kcal} = 258 \, \text{kcal} \][/tex]
Rounded to the nearest tens place:
[tex]\[ 260 \, \text{kcal} \][/tex]
#### 2. Cola
- Carbohydrates: 51 grams
- Fats: 0 grams
- Proteins: 0 grams
Calculating calories:
- From Carbohydrates: [tex]\( 51 \, \text{grams} \times 4 \, \text{kcal/gram} = 204 \, \text{kcal} \)[/tex]
- From Fats: [tex]\( 0 \, \text{grams} \times 9 \, \text{kcal/gram} = 0 \, \text{kcal} \)[/tex]
- From Proteins: [tex]\( 0 \, \text{grams} \times 4 \, \text{kcal/gram} = 0 \, \text{kcal} \)[/tex]
Total calories:
[tex]\[ 204 \, \text{kcal} \][/tex]
Rounded to the nearest tens place:
[tex]\[ 200 \, \text{kcal} \][/tex]
#### 3. Ice Cream
- Carbohydrates: 44 grams
- Fats: 28 grams
- Proteins: 8 grams
Calculating calories:
- From Carbohydrates: [tex]\( 44 \, \text{grams} \times 4 \, \text{kcal/gram} = 176 \, \text{kcal} \)[/tex]
- From Fats: [tex]\( 28 \, \text{grams} \times 9 \, \text{kcal/gram} = 252 \, \text{kcal} \)[/tex]
- From Proteins: [tex]\( 8 \, \text{grams} \times 4 \, \text{kcal/gram} = 32 \, \text{kcal} \)[/tex]
Total calories:
[tex]\[ 176 \, \text{kcal} + 252 \, \text{kcal} + 32 \, \text{kcal} = 460 \, \text{kcal} \][/tex]
Rounded to the nearest tens place:
[tex]\[ 460 \, \text{kcal} \][/tex]
### Summary of Total Kilocalories for Each Food Item:
- Pizza: 260 kcal
- Cola: 200 kcal
- Ice Cream: 460 kcal
- Carbohydrate: 4 kcal per gram
- Fat: 9 kcal per gram
- Protein: 4 kcal per gram
We'll use this information to find the total kilocalories for Pizza, Cola, and Ice Cream.
### Step-by-Step Solution:
#### 1. Pizza
- Carbohydrates: 29 grams
- Fats: 10 grams
- Proteins: 13 grams
Calculating calories:
- From Carbohydrates: [tex]\( 29 \, \text{grams} \times 4 \, \text{kcal/gram} = 116 \, \text{kcal} \)[/tex]
- From Fats: [tex]\( 10 \, \text{grams} \times 9 \, \text{kcal/gram} = 90 \, \text{kcal} \)[/tex]
- From Proteins: [tex]\( 13 \, \text{grams} \times 4 \, \text{kcal/gram} = 52 \, \text{kcal} \)[/tex]
Total calories:
[tex]\[ 116 \, \text{kcal} + 90 \, \text{kcal} + 52 \, \text{kcal} = 258 \, \text{kcal} \][/tex]
Rounded to the nearest tens place:
[tex]\[ 260 \, \text{kcal} \][/tex]
#### 2. Cola
- Carbohydrates: 51 grams
- Fats: 0 grams
- Proteins: 0 grams
Calculating calories:
- From Carbohydrates: [tex]\( 51 \, \text{grams} \times 4 \, \text{kcal/gram} = 204 \, \text{kcal} \)[/tex]
- From Fats: [tex]\( 0 \, \text{grams} \times 9 \, \text{kcal/gram} = 0 \, \text{kcal} \)[/tex]
- From Proteins: [tex]\( 0 \, \text{grams} \times 4 \, \text{kcal/gram} = 0 \, \text{kcal} \)[/tex]
Total calories:
[tex]\[ 204 \, \text{kcal} \][/tex]
Rounded to the nearest tens place:
[tex]\[ 200 \, \text{kcal} \][/tex]
#### 3. Ice Cream
- Carbohydrates: 44 grams
- Fats: 28 grams
- Proteins: 8 grams
Calculating calories:
- From Carbohydrates: [tex]\( 44 \, \text{grams} \times 4 \, \text{kcal/gram} = 176 \, \text{kcal} \)[/tex]
- From Fats: [tex]\( 28 \, \text{grams} \times 9 \, \text{kcal/gram} = 252 \, \text{kcal} \)[/tex]
- From Proteins: [tex]\( 8 \, \text{grams} \times 4 \, \text{kcal/gram} = 32 \, \text{kcal} \)[/tex]
Total calories:
[tex]\[ 176 \, \text{kcal} + 252 \, \text{kcal} + 32 \, \text{kcal} = 460 \, \text{kcal} \][/tex]
Rounded to the nearest tens place:
[tex]\[ 460 \, \text{kcal} \][/tex]
### Summary of Total Kilocalories for Each Food Item:
- Pizza: 260 kcal
- Cola: 200 kcal
- Ice Cream: 460 kcal