Question

Emerson is making a punch that contains 60% grape juice and the rest lemon-lime soda. The punch has 2 liters of lemon-lime soda. Part A: Write an equation using one variable that can be used to find the total number of liters of grape juice and lemon-lime soda in the punch. Define the variable used in the equation and solve the equation. Hint: 0.6x represents the number of liters of grape juice in the punch. (5 points) Part B: How many liters of grape juice are present in the punch? Show your work. (5 points)

Answer 1

Question

Emerson is making a punch that contains 60% grape juice and the rest lemon-lime soda. The punch has 2 liters of lemon-lime soda. Part A: Write an equation using one variable that can be used to find the total number of liters of grape juice and lemon-lime soda in the punch. Define the variable used in the equation and solve the equation. Hint: 0.6x represents the number of liters of grape juice in the punch. (5 points) Part B: How many liters of grape juice are present in the punch? Show your work. (5 points)

Answer:

5l = 0.4l(1) + 0.6l(2)

Step-By-Step-Explenation

5l = Total litres.

0.4l = 0.4 represents % of lemon-lime soda in litres.

0.6l = 0.6 represents % of grape juice in litres.

For grape juice, make L(1) = 0 and find for L(2), you will get 3L

For lemon-lime soda, make L(2) = 0 and find for L(1), you will get 2L

3L + 2L = 5L.

60% + 40% = 100%

I think this is right but i really tried.!

Hope this helps!

Answer 2

Answer:

Step-by-step explanation:

A. let x be no. of L of punch

0.6x represents the number of liters of grape juice in the punch

and the rest lemon-lime soda = x - 0.6x = 0.4x

the equation is 0.4x = 2

x = 2/0.4 = 5

B. number of liters of grape juice in the punch = 0.6x

= 0.6*5

= 3