A shop buys cartons of Fruitez from the UK - Junior Cycle Mathematics - Question 4 - 2017

In Fruitez, the ratio of fruit juice to water is 3:7. Thus, the total ratio parts are:

$$3 + 7 = 10$$

To find the amount of fruit juice in 20 litres:

ext{Litres of fruit juice} = rac{3}{10} imes 20 = 6 ext{ litres}

From the mixture of 20 litres of Fruitez and 40 litres of Juicy, the total volume is:

$$20 + 40 = 60 ext{ litres}$$

In Fruitez, there are 6 litres of fruit juice, so the amount of water is:

$$20 - 6 = 14 ext{ litres of water}$$

The total fruit juice in the mixture (from Fruitez) is 6 litres, and the water from Juicy is:

$$ext{Water in Juicy} = ext{Total water} - ext{Water from Fruitez} = 60 - 14 = 46 ext{ litres}$$

Thus, the ratio of fruit juice to water in Juicy is:

ext{Ratio} = rac{6}{46} = rac{3}{23} ext{ (simplified)}