How many kilocalories does a runner expend when he runs for 5.0 h and uses 830 Cal/h? How many pieces of pizza that each contain 19 g of protein, 16 g of fat, and 31 g of carbohydrates could be eaten after the race to replenish these Calories? (Do not round the total number of kcal to the appropriate signifcant figures when you report your answer. Round to the nearest whole slice of pizza.)

Respuesta :

Calories are the amount of energy the body receives after consuming food.

The runner has to eat 12 slices of pizzas to replenish the calories lost.

It is important to know that 1 kilocalorie = 1 calorie in nutrition.

  • a) A runner runs for 5 hours and uses 830 cal/hr

The number of calories he expends is calculated as:

1 hour = 830 calories

5 hours = ?

Cross multiply

5 hours × 830 calories / 1 hour

= 4150 calories

The runner expends 4150 calories

Therefore, the runner expends 4150 calories after running for 5 hours.

  • b) 1 piece/slice of pizza contains 19g of protein, 16g of fat, and 31g of carbohydrates.

1 g of carbohydrate = 4 calories

1 g of protein = 4 calories

1 g of fat = 9 calories

For 1 slice of pizza

Amount of protein

1 g of protein = 4 calories

19 g of protein = ?

Cross Multiply

19 g of protein × 4 calories

= 76 calories

Amount of Carbohydrate

1 g of Carbohydrate = 4 calories

31 g of Carbohydrate  = ?

Cross Multiply

31 g of Carbohydrate × 4 calories

= 124 calories

Amount of Fat

1 g of fat = 9 calories

16 g of fat = ?

Cross Multiply

16 g of fat × 4 calories

= 144 calories

Hence, the total number of calories in 1 slice of pizza is calculated as:

76 calories + 124 calories + 144 calories

= 344 calories

So, if the runner expends 4150 calories after running for 5 hours, the number of slices of pieces of pizza the runner can eat to replenish is calculated as:

344 calories = 1 slice of pizza

4150 calories = ?

Cross Multiply

4150 calories × 1 slice of pizza / 344 calories

= 12.06 slices of pizza.

Approximately to the nearest whole slice of pizza is 12 slices of pizza.

Therefore, the runner has to eat 12 slices of pizzas to replenish the calories lost.

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