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The labels of two types of yoghurt give the information shown below. How many grams of protein are provided by 100 mathrm(~g) of yoghurt A?

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The labels of two types of yoghurt give the information shown below. How many grams of protein are provided by 100 mathrm(~g) of yoghurt A?

The labels of two types of yoghurt give the information shown below. How many grams of protein are provided by 100 mathrm(~g) of yoghurt A?

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BradfordMaster · Tutor for 5 years

Answer

\( x = 5.2 \, \text{g} \)<br /><br />So, 100g of Yoghurt A contains 5.2g of protein.

Explain

## Step 1: Identify the given information<br />The problem provides information about the protein content in two types of yoghurt, A and B. Specifically, each 125g of Yoghurt A contains 6.5g of protein. <br /><br />## Step 2: Set up the proportion<br />We want to find out how many grams of protein are in 100g of Yoghurt A. We can set up a proportion using the information given in the problem: <br /><br />### \( \frac{6.5 \, \text{g of protein}}{125 \, \text{g of Yoghurt A}} = \frac{x \, \text{g of protein}}{100 \, \text{g of Yoghurt A}} \)<br /><br />## Step 3: Solve for x<br />We can cross-multiply and solve for x:<br /><br />### \( 6.5 \times 100 = 125x \)<br /><br />### \( x = \frac{650}{125} \)
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