A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 20% real fruit juice and Drink B contains 5% real fruit juice. The company used 56.5 litres of real fruit juice to make 80 more litres of Drink B than of Drink A. Write a system of equations that could be used to determine the number of litres of Drink A made and the number of litres Drink B made. Define the variables that you can use to write the system.

Alfredeim

Alfredeim

Answered question

2022-09-12

A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 20% real fruit juice and Drink B contains 5% real fruit juice. The company used 56.5 litres of real fruit juice to make 80 more litres of Drink B than of Drink A. Write a system of equations that could be used to determine the number of litres of Drink A made and the number of litres Drink B made. Define the variables that you can use to write the system.

Answer & Explanation

Dana Chung

Dana Chung

Beginner2022-09-13Added 14 answers

According to the facts given in the question we can have following equation.
20% of x+5% of ( x + 80 ) = 56.5
20 100 × x + 5 100 × ( x + 80 ) = 56.5 x 5 + x + 80 20 = 56.5 4 x + x + 80 20 = 56.5 5 x + 80 = 56.5 × 20 x = 210.26

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