Middle School

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Jocelyn desires to increase both her protein consumption and caloric intake. She wants to have at least 35 more grams of protein each day and no more than an additional 200 calories daily.

An ounce of cheddar cheese has 7 grams of protein and 110 calories. An ounce of parmesan cheese has 11 grams of protein and 22 calories.

Could she eat 1 ounce of cheddar cheese and 3 ounces of parmesan cheese?

Answer :

Yes, she could. By eating 1 ounce of cheddar cheese and 3 ounces of Parmesan cheese, she would be consuming 40 grams of protein and 176 calories.

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Rewritten by : Barada

Jocelyn can indeed eat 1 ounce of cheddar cheese and 3 ounces of parmesan cheese while meeting her desired increase in protein and caloric intake.

How to determine if Jocelyn can eat 1 ounce of cheddar cheese and 3 ounces of parmesan cheese while meeting her desired increase in protein and caloric intake.

Let's calculate the increase in protein and calories for eating 1 ounce of cheddar cheese and 3 ounces of parmesan cheese:

For 1 ounce of cheddar cheese:

Protein = 7 grams

Calories = 110 calories

For 3 ounces of parmesan cheese:

Protein = 11 grams * 3 = 33 grams

Calories = 22 calories * 3 = 66 calories

Total increase in protein = 7 grams (cheddar) + 33 grams (parmesan) = 40 grams

Total increase in calories = 110 calories (cheddar) + 66 calories (parmesan) = 176 calories

Jocelyn desires to have at least 35 more grams of protein and no more than 200 additional calories. Since the increase in protein is 40 grams (which is greater than 35 grams), it satisfies that condition. However, the increase in calories is 176 calories (which is less than 200 calories), so it also satisfies that condition.

Therefore, Jocelyn can indeed eat 1 ounce of cheddar cheese and 3 ounces of parmesan cheese while meeting her desired increase in protein and caloric intake.

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