(d) A certain concentrate contains \( 40 \% \) orange juice. 50 ml of the concentrate is diluted 200 ml of water to make 250 ml of cool drink. What fraction of the drink is orange juice?

To find the fraction of the drink that is orange juice, we need to determine the amount of orange juice in the 250 ml of cool drink. Given: - The concentrate contains 40% orange juice. - 50 ml of the concentrate is diluted with 200 ml of water to make 250 ml of cool drink. Let's calculate the amount of orange juice in the 250 ml of cool drink: 1. Calculate the amount of orange juice in 50 ml of concentrate: - 40% of 50 ml = \( 0.4 \times 50 \) ml = 20 ml of orange juice. 2. Calculate the total amount of orange juice in the 250 ml of cool drink: - Since the 50 ml of concentrate is diluted with 200 ml of water, the total amount of orange juice in the 250 ml of cool drink is the same as the amount of orange juice in the 50 ml of concentrate, which is 20 ml. 3. Calculate the fraction of the drink that is orange juice: - The fraction of the drink that is orange juice is the amount of orange juice in the 250 ml of cool drink divided by the total volume of the cool drink: \[ \text{Fraction of orange juice} = \frac{20 \text{ ml}}{250 \text{ ml}} \] Now, let's calculate the fraction of the drink that is orange juice. Calculate the value by following steps: - step0: Calculate: \(\frac{20}{250}\) - step1: Reduce the fraction: \(\frac{2}{25}\) The fraction of the drink that is orange juice is \( \frac{2}{25} \) or 0.08.