Question

write a system of equations that could be used to determine the number of liters of drink a maid and the number of liters of drink be made. Define the variables that you use to write the system.

Answer 1

Let x = liters of drink A

Let y = liters of drink B

System:

`\begin{cases}x=y+30 \\ 0.2x+0.15y=100.5\end{cases}`

Step-by-step explanation

We know that of the liters of drink A, 20% is real juice: 0.2x

and that of the liters of drink B, 15% is real juice: 0.15y

The sum of the amounts of real juice in each drink is 100.5, because it is said that 100.5 liters of real juice are use to make both drinks.

Also it is said that they make 30 more liters of drink A than of drink B, so the liters of drink A are 30 more than drink B: x = y + 30

The system is:

`\begin{cases}x=y+30 \\ 0.2x+0.15y=100.5\end{cases}`