Question

Bruce has a bottle that contains 60% of lemon juice and the rest water. The bottle 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 lemon juice and water in the bottle. Define the variable used in the equation.

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

Answer 1

\(\Huge{Please~Help!!!!}\)

Answer 2

\(Do~you~know~how~to~solve~it?\)

Answer 3

I know how to solve Part B, I'm not entirely sure I can solve Part A.

Answer 4

me too

Answer 5

So the problem is you need help with Part A?

Answer 6

Yes. I don't know how to write it in a one-variable equation

Answer 7

Hold on, I'll see what I can come up with.

Answer 8

Thank you.

Answer 9

I suppose you may want to write the equation like this:
1(0.4) + x(0.6) = 1
Due to how if you multiply the liters times the decimal percentage you would equal the decimal equivalent of 1.

Answer 10

But what would x represent?

Answer 11

x would represent the amount of liters that the lemon juice would have.
Let me see if I try to solve it:
0.4 + 0.6x = 1
0.6x = 0.4
Nevermind... hold on.

Answer 12

okay

Answer 13

Wait... 1/0.4 - 0.6(2.5) = x?
With x representing the lemon juice amount.

Answer 14

As you have probably noticed, I don't entirely know what I am doing. I'll keep trying though.

Answer 15

thank you so much

Answer 16

I think I know it, you would probably write it like this:
x/0.6 = 2.5
x represents the liters of lemon juice.

Answer 17

Because 2.5 x 0.6 = 1.5 which is the amount of liters used.

Answer 18

Thank you ghost for your time and effort you put towards helping me. I am eternally grateful.

Answer 19

You're welcome! I'm sorry if the answer isn't correct.