A fruit fuice blend is made by mixing the juice of oranges and apples in the ratio \( 7: 5 \). If 168 littes of orange |uice is used, how many litres of apple juice must be used?

To determine how many litres of apple juice are needed, we can use the given ratio of orange juice to apple juice, which is \( 7:5 \). 1. **Understanding the Ratio:** - **Orange Juice:** 7 parts - **Apple Juice:** 5 parts 2. **Given:** - **Amount of Orange Juice:** 168 litres 3. **Set Up the Proportion:** \[ \frac{\text{Orange Juice}}{\text{Apple Juice}} = \frac{7}{5} = \frac{168}{x} \] where \( x \) is the amount of apple juice needed. 4. **Solve for \( x \):** \[ \frac{7}{5} = \frac{168}{x} \] Cross-multiply to solve for \( x \): \[ 7x = 5 \times 168 \] \[ 7x = 840 \] \[ x = \frac{840}{7} = 120 \] 5. **Conclusion:** - **Apple Juice Required:** 120 litres **Answer:** 120 litres of apple juice must be used.