Question

A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 10% real fruit juice and Drink B contains 30% real fruit juice. Company made 360 liters of fruity drinks with 78 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.

Answer 1

Let a= the number of liters of Drink A made

Let b = the number of liters of Drink B made

0.1a+0.3b= 78

a+b= 360

Answer 2

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

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