Q:

A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 5% real fruit juice and Drink B contains 10% real fruit juice. How many liters of real fruit juice would be needed to produce 250 liters of Drink A and 200 liters of Drink B? How many liters of real fruit juice would be needed to produce aa liters of Drink A and bb liters of Drink B?

Accepted Solution

A:
Answer:a). 12.5 liters of real fruit juice would be needed to produce 250 liters of Drink A, and 20 liters of real fruit juice would be needed to produce 250 liters of Drink Bb). 0.05aa liters of real fruit juice would be needed to produce aa liters of Drink A, and 0.1bb liters of real fruit juice would be needed to produce bb liters of Drink B  Step-by-step explanation:a). Drinks A(250 liters) and Drink B(200 liters)Total amount of Drink A=250 litersReal fruit juice=5% of Drink A=(5/100)×250=12.5 liters12.5 liters of real fruit juice would be needed to produce 250 liters of Drink ATotal amount of Drink B=200 litersReal fruit juice=10% of Drink B=(10/100)×200=20 liters20 liters of real fruit juice would be needed to produce 250 liters of Drink Bb). Drinks aa and bbTotal amount of Drink A=aa litersReal fruit juice=5% of Drink A=(5/100)×aa=0.05aa liters0.05aa liters of real fruit juice would be needed to produce aa liters of Drink ATotal amount of Drink B =bb litersReal fruit juice=10% of Drink 10=(10/100)×bb=0.1bb liters0.1bb liters of real fruit juice would be needed to produce bb liters of Drink B