Question

A company produces fruity drinks that contain a percentage of real fruit juice. Drink

A contains 20% real fruit juice and Drink B contains 15% real fruit juice. The
company used 100.5 liters of real fruit juice to make 30 more liters of Drink A than
liters of Drink B. Write a system of equations that could be used to determine the
number of liters of Drink A made and the number of liters of Drink B made. Define
the variables that you use to write the system.

Answer 1

x = amount of real fruit juice used to make Drink A

y = amount of real fruit juice used to make Drink B

Step-by-step explanation:

Let

x = amount of real fruit juice used to make Drink A

y = amount of real fruit juice used to make Drink B

1. The company used 100.5 liters of real fruit juice, then

2. Drink A:

x = amount of real fruit juice used

percentage of real fruit juice

Then

5x = amount of drink A produced

Drink B:

y = amount of real fruit juice used

percentage of real fruit juice

Then

amount of drink B produced

The company makes 30 more liters of Drink A than liters of Drink B, so

The system of two equations is