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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.
Let
System of Equations:

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 class=

Respuesta :

frika

Answer:

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

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

[tex]\left\{\begin{array}{l}x+y=100.5\\ \\5x-\dfrac{20}{3}y=30\end{array}\right.[/tex]

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

[tex]x+y=100.5[/tex]

2. Drink A:

x = amount of real fruit juice used

[tex]20\%=\dfrac{1}{5}=[/tex] percentage of real fruit juice

Then

5x = amount of drink A produced

Drink B:

y = amount of real fruit juice used

[tex]15\%=\dfrac{3}{20}=[/tex] percentage of real fruit juice

Then

[tex]\dfrac{20}{3}y=[/tex] amount of drink B produced

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

[tex]5x-\dfrac{20}{3}y=30[/tex]

The system of two equations is

[tex]\left\{\begin{array}{l}x+y=100.5\\ \\5x-\dfrac{20}{3}y=30\end{array}\right.[/tex]

aksnkj

The system of equations representing the given condition will be [tex]x+y=100.5\; \rm{and}\; 5x-\dfrac{20}{3}y=30[/tex].

Given information:

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.

Let x be the liters of drink A and y be the liters of drink B made by the company.

The total amount of real juice used to make drink A will be,

[tex]20\%\times x=0.2x[/tex]

The total amount of real juice used to make drink B will be,

[tex]15\%\times y=0.15y[/tex]

Based on the given condition, the equations can be written as,

[tex]x+y=100.5\\5x-\dfrac{20}{3}y=30[/tex]

Therefore, the system of equations representing the given condition will be [tex]x+y=100.5\; \rm{and}\; 5x-\dfrac{20}{3}y=30[/tex].

For more details, refer to the link;

https://brainly.com/question/21404414

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