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A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 25% real fruit juice and Drink B contains 20% real fruit juice. Company made 280 liters of fruity drinks with 61 liters of real fruit juice. 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.

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Answer:

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 i

Answer:

A =  liters of drink A at 10% real fruit juice

B = liters of drink B at 30% real fruit juice

A + B = 360

0.1*A + .3*B = 78 liters

Step-by-step explanation:

A =  liters of drink A at 10% real fruit juice

B = liters of drink B at 30% real fruit juice

A + B = 360

0.1*A + .3*B = 78 liters

Then you can solve.

A = 360 - B

36 - 0.1B + 0.3 B = 78

0.2B = 42

B = 210 liters

A = 150 liters

i hope this helps!

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