Tom is making a punch that contains 80% cranberry juice and the rest ginger ale. The punch has 2 liters of ginger ale.

Part A: Write an equation using one variable that can be used to find the total number of liters of cranberry juice and ginger ale in the punch. Define the variable used in the equation.

Part B: How many liters of cranberry juice are present in the punch? Show your work.

Question

Mathematics

Tianna Kline

15 June, 01:35

Tom is making a punch that contains 80% cranberry juice and the rest ginger ale. The punch has 2 liters of ginger ale.

Part A: Write an equation using one variable that can be used to find the total number of liters of cranberry juice and ginger ale in the punch. Define the variable used in the equation.

Part B: How many liters of cranberry juice are present in the punch? Show your work.

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Answers (1)

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Bentley Stokes · Answer 1

For this item, we let x be the volume of the cranberry juice that is present in the punch and from the condition described above, this x will be 80% of the total volume.

0.80 = x / (x + 2)

The value of x from the equation is 8 L