Question

Meg has a can that contains 80% of orange juice and the rest water. The can has 1 liter of water.

Part A: Write an equation in one variable that can be used to find the total number of liters of orange juice and water in the can. Define the variable used in the equation.

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

Answer 1

Part A:
x - total number of liters
The equation is:
0.8 x + 1 = x
Part B:
0.8 x + 1 = x
1 = x - 0.8 x
1 = 0.2 x
x = 1 : 0.2 = 5 lit.
0.8 · 5 = 4 lit.
There are 4 liters of orange juice in the can.

Answer 2

Part A) An equation in one variable that can be used to find the total number of liters of orange juice and water in the can is defined as :

0.2x = 1
where x is the total number of liters of orange juice and water combined. 20% is water in the can.

Solving the equation:
0.2 X = 1
X = 1/0.2
X = 5

Part B) If the entire can holds 80% of orange juice and 20% of water,
Using the ratio:
80 : 20
4 : 1
total is 5 liters.
Hence,
The can will contain 4 liters of orange juice and 1 liter of water.