Question

Bruce has a bottle that contains 60% lemon juice and the rest water. The bottle has 1 liter of water. Part A: Write an equation using one variable that can be used to find the total number of liters of lemon juice and water in the bottle. Define the variable used in the equation. Hint: 0.6x represents the number of liters of lemon juice in the bottle. (5 points) Part B: How many liters of lemon juice are present in the bottle? Show your work. (5 points)

Answer 1

Answer:

Part A: (40/100)*x = 1 where x is the total contents of the bottle.

Part B: 1.5 Liters = the Lemon Juice

Step-by-step explanation:

Part A

Let the full contents of the bottle = x

Equation

Since 60% of it is lemon juice, then 100% - 60% = 40% must be water.

(60/100) * x = ??  Equation for Lemon Juice. You have to solve the water first.

(40/100) * x = 1    Equation for water

Part B

(40/100) * x = 1     change the 40% to a decimal

0.4x = 1                 Divide by 0.4

x = 1/0.4 = 2.5 L

Now to find out the amount of lemon juice

0.6 * 2.5 = Lemon Juice

1.5 L = the amount of Lemon Juice.