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

Answer 1

Part A

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

let grape juice be $g$, and lemon-lime soda be $l$

the expression for the total number of litres in the punch is given by $g+l$

We know the number of litres for the lemon-lime soda, hence the expression is $g+2$

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