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?

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 B

b). 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 liters

Real fruit juice=5% of Drink A=(5/100)×250=12.5 liters

12.5 liters of real fruit juice would be needed to produce 250 liters of Drink A

Total amount of Drink B=200 liters

Real fruit juice=10% of Drink B=(10/100)×200=20 liters

20 liters of real fruit juice would be needed to produce 250 liters of Drink B

b). Drinks aa and bb

Total amount of Drink A=aa liters

Real fruit juice=5% of Drink A=(5/100)×aa=0.05aa liters

0.05aa liters of real fruit juice would be needed to produce aa liters of Drink A

Total amount of Drink B =bb liters

Real fruit juice=10% of Drink 10=(10/100)×bb=0.1bb liters

0.1bb liters of real fruit juice would be needed to produce bb liters of Drink B

Final answer:

To find the amount of real fruit juice needed, multiply the total volume of each drink by the percentage of juice it contains. For 250 liters of Drink A and 200 liters of Drink B, you need 32.5 liters of fruit juice in total. Apply the same method for any quantity of drinks.

Explanation:

We can compute the amount of real fruit juice needed for the drinks by using a similar method as in Chapter 9: multiplying the total volume of each drink by the percentage of real fruit juice it contains.

For Drink A: 250 liters * 5% = 12.5 liters of real fruit juice.

For Drink B: 200 liters * 10% = 20 liters of real fruit juice.

So in total, to produce 250 liters of Drink A and 200 liters of Drink B, you would need 12.5 liters + 20 liters = 32.5 liters of real fruit juice.

For aa liters of Drink A and bb liters of Drink B, you would do the following calculations:

Drink A: aa liters * 5%

Drink B: bb liters * 10%

Add the results from both calculations to get the total liters of real fruit juice needed.

Learn more about Percentage Calculation here:

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