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. (5 points) Part B: How many liters of grape juice are present in the punch? Show your work. (5 points)

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aj305 aj305

21-06-2017
Mathematics

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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. (5 points) Part B: How many liters of grape juice are present in the punch? Show your work. (5 points)

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merlynthewhizz merlynthewhizz · Answer 1 · 2017-06-27T12:01:54+02:00

Part A

Total number of litres in the punch = grape juice + lemon lime soda

let grape juice be [tex]g[/tex], and lemon-lime soda be [tex]l[/tex]

the expression for the total number of litres in the punch is given by [tex]g+l[/tex]

We know the number of litres for the lemon-lime soda, hence the expression is [tex]g+2[/tex]

Part B:

40% of the punch is lemon-lime soda which is 2 litres
That means every 1 litre represents 20% of the punch
60% of the punch is grape-juice, hence 60÷20 = 3 litres of grape juice