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.

Question

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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)

Mathematics

2 answers:

Kisachek [45] · Answer 1 · 2022-07-29T23:16:29+03:00

Question

<em>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)</em>

Answer:

<h2>Step-By-Step-Explenation </h2>

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!