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The food labels given below give information about 2 types of soup: cream of tomato and sweet corn. Use these labels to answer the given questions. (All the servings are based on a 2000 calorie diet - Mathematics

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Question

The food labels given below give information about 2 types of soup: cream of tomato and sweet corn. Use these labels to answer the given questions. (All the servings are based on a 2000 calorie diet.)

Sweet Corn Cream of Tomato
Nutrition Facts Nutrition Facts
Serving Size 1 cup (240ml) Serving Size 1 cup (240ml)
About 2 serving per Container About 2 serving per Container
Amount Per Serving   Amount Per Serving  
Calories 90 Calories from Fat 9 Calories 100 Calories from Fat 20
  % Daily Value*   % Daily Value*
Total Fat 2g 2% Total Fat 2g 3%
Saturated Fat-0g 0% Saturated Fat-1.5g 6%
Cholesterol 0mg 0% Cholesterol 10mg 3%
Sodium 540mg 22% Sodium 690mg 29%
Total Carbohydrate 17g 6% Total Carbohydrate 17g 6%
Dietary Fibre 3 gram 14% Dietary Fibre 4 gram 18%
Sugar 5g   Sugar 11g  
Protein 3g   Protein 2g  
Vitamin A 30% Vitamin C 10% Vitamin A 20% Vitamin C 20%
Calcium 2% Iron 6% Calcium 0% Iron 8%
*Per cent Daily Values are
based on a 2,000 calorie diet.
*Per cent Daily Values are
based on a 2,000 calorie diet.

Which can be measured more accurately : the total amount of fat in cream of tomato soup or the total amount of fat in sweet corn soup? Explain.

Sum

Solution

Given, the serving size of 1 cup of sweet corn = 240 ml

Also, total fat = 2g on 2%

Now, we know x% of `n = x/100 xx n`

⇒ 2% of fat in sweet corn of 1 cup (with 2 servings per container) = `2/100 xx 240`

= `48/10`

= 4.8 g

⇒ For one serving = `4.8/2` = 2.4 g

Given, serving size of 1 cup of cream of tomato = 240 ml

Also, total fat = 2g on 3%

Now, we know x% of `n = x/100 xx n`

⇒ 3% of fat in cream of tomato of 1 cup (with 2 servings per container) = `3/100 xx 240`

= `72/10`

= 7.2 g

⇒ For one serving = `7.2/2`  = 3.6 g

Hence, sweet corn soup can be compared more accurately.

Since, 2.4 g is nearest to 2 g when compared to 3.6 g to 3 g.

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Chapter 9: Comparing Quantities - Exercise [Page 299]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 9 Comparing Quantities
Exercise | Q 106. (a) | Page 299

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