GCSE OCR Maths Averages: Here is the nutritional informat

Here is the nutritional information for a 110g serving of cereal - OCR - GCSE Maths - Question 4 - 2018 - Paper 1

Question 4

Here is the nutritional information for a 110g serving of cereal. Carbohydrates 99.4g Proteins 9.5g Fats 1.1g Emily says that more than 90% of this... show full transcript

Worked Solution & Example Answer:Here is the nutritional information for a 110g serving of cereal - OCR - GCSE Maths - Question 4 - 2018 - Paper 1

Step 1

Is she correct? Explain your reasoning.

96%

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Answer

To determine if Emily is correct in stating that more than 90% of the serving is carbohydrates, we need to calculate the percentage of carbohydrates in the total serving.

Step 1: Calculate the total amount of carbohydrates.

The given amount of carbohydrates is 99.4g.

Step 2: Calculate the total serving weight.

The total serving weight is 110g.

Step 3: Calculate the percentage of carbohydrates.

The formula for percentage is:

$ext{Percentage of Carbohydrates} = rac{ ext{Amount of Carbohydrates}}{ ext{Total Serving Weight}} imes 100$

Plugging in the values:

$ext{Percentage of Carbohydrates} = rac{99.4}{110} imes 100$

Calculating this gives:

$ext{Percentage of Carbohydrates} = 90.36\%$

Step 4: Compare the result.

Since 90.36% is greater than 90%, we can conclude that Emily is indeed correct. Therefore, more than 90% of the serving is carbohydrates.