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

Guest Sep 24, 2021

#1**+1 **

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.

**Hello Guest!**

The volume of the fruit drink from company A is a.

The volume of the fruit drink from company B is b.

\(20\%a+15\%b=105l\\ \underline{a=b+30l}\)

\(20\%(b+30l)+15\%b=105l\\ 0.2b+0.2\cdot 30l+0.15b=105l\\ 0.35b=105l-0.2\cdot 30l\\ 0.35b=105l-6l\\0.35b=99l \)

\(b=\dfrac{99}{0.35}\cdot \dfrac{20}{20}=\dfrac{1980}{7}\)

\(b=282\frac{6}{7}\ l=282.\overline {857142}\ l\\ a=312\frac{6}{7}\ l=312.\overline {857142}\ l\\\)

!

asinus Sep 24, 2021