Question

A drink is made by mixing fruit juice and water in the ratio 3:5. The drink is made using 2 litres of water. Calculate the amount of fruit juice used. Give your answer in mililitre.

Answer 1

To calculate the amount of fruit juice in a mixture with a 3:5 juice-to-water ratio using 2 liters of water, convert water to milliliters and then solve the proportion to find that 1,200 milliliters of fruit juice are needed.

Step-by-step explanation:

The student has asked how to calculate the amount of fruit juice used in a drink mix where the ratio of fruit juice to water is 3:5 and 2 liters of water are used. Fruit juice and water are mixed in a 3:5 ratio, which means for every 3 parts of fruit juice, there are 5 parts of water. Since 2 liters of water are used, and 1 liter is equivalent to 1,000 milliliters, we can calculate the amount of water in milliliters as 2 L × 1,000 mL/L = 2,000 mL. To find the amount of fruit juice, we set up the proportion 3 parts juice / 5 parts water = x mL juice / 2,000 mL water. Solving for x gives us x = (3 / 5) × 2,000 mL = 1,200 mL.