Math  /  Numbers & Operations

Question2 A tin of soup has the following information on the label. \begin{tabular}{|c|c|c|} \hline \multicolumn{3}{|c|}{} \\ \hline 200 grams of soup contains \\ \hline Protein & Carbohydrate & Fat \\ \hline 4.g4 . \mathrm{g} & 8.7 g & 5.8 g \\ \hline \end{tabular} (a) What fraction of the soup is Protein? Give your answer in its simplest form. 4200150\frac{4}{200} \Rightarrow \frac{1}{50} (b) What percentage of the soup is Carbohydrate? 4.30587200×100 Answer(b) ......................................... % [1] 4.305 \frac{8-7}{200} \times 100 \quad \text { Answer(b) ......................................... \% [1] }

Studdy Solution

STEP 1

1. We are given the nutritional content of a 200-gram tin of soup.
2. The soup contains 4 grams of protein, 8.7 grams of carbohydrate, and 5.8 grams of fat.
3. We need to find the fraction of the soup that is protein and the percentage of the soup that is carbohydrate.

STEP 2

1. Calculate the fraction of the soup that is protein.
2. Calculate the percentage of the soup that is carbohydrate.

STEP 3

Calculate the fraction of the soup that is protein.
Fraction of protein=grams of proteintotal grams of soup=4200\text{Fraction of protein} = \frac{\text{grams of protein}}{\text{total grams of soup}} = \frac{4}{200}

STEP 4

Simplify the fraction 4200\frac{4}{200}.
4200=150\frac{4}{200} = \frac{1}{50}

STEP 5

Calculate the percentage of the soup that is carbohydrate.
Percentage of carbohydrate=(grams of carbohydratetotal grams of soup)×100=(8.7200)×100\text{Percentage of carbohydrate} = \left(\frac{\text{grams of carbohydrate}}{\text{total grams of soup}}\right) \times 100 = \left(\frac{8.7}{200}\right) \times 100

STEP 6

Perform the calculation for the percentage.
(8.7200)×100=4.35%\left(\frac{8.7}{200}\right) \times 100 = 4.35\%
The fraction of the soup that is protein is 150\frac{1}{50}, and the percentage of the soup that is carbohydrate is 4.35%4.35\%.

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