Question

MEDAL AND FAN
HELP
help with written responses for math!!!!!!!!!!! there are 5 different questions and ill open a new question for each so u can get up to 5 medals and ill FAN U

Answer 1

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. (5 points)

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

Answer 2

@zepdrix

Answer 3

One variable? Mmm that's weird.
This really involves like 3 variables, the total, the lemon juice, and the water.

If they want it in one variable, I guess we'll try to relate everything to the total.\[\Large\rm t=60\text%~t+40\text%~t\]The total amount of liquid is 60% + 40%.
The 60% represents the lemon juice, yes?
The remaining 40% represents the water.

Let's convert our percents to decimals.\[\Large\rm t=.60t+.40t\]^This is maybe the equation they're looking for in part A. I dunno, the question is really weird.....

Answer 4

Where, \(\Large\rm .60t=\ell\), the amount of lemon juice,
and \(\Large\rm .40t=\mathcal w\), the amount of water.

Answer 5

I dunnooooo :O I don't like this question >:U

Answer 6

thanks for trying :)

Answer 7

Do you understand how to do part B?

The total is 1 liter.
Lemon juice is 60% of that.
What is 60% of 1?

Answer 8

.60?

Answer 9

@zepdrix

Answer 10

Omg I read the problem wrong........
jfkdasjfkladsjfklasjfklasjfd

The bottle doesn't have 1 liter of liquid, it has 1 liter of WATER.

Answer 11

60% of the liquid is lemon juice.
And 40% of the liquid is water.

That 40% is ONE LITER. AHHHHHHH

Answer 12

lol now im really confused @zepdrix

Answer 13

40% of the total liquid is water.
40% of the total liquid is 1 liter.

I'm gonna write the percent as a fraction,
\[\Large\rm 40\text%t=1\qquad\to\qquad \frac{40}{100}t=1\]Then solving for t (the total liquid) gives us,\[\Large\rm t=1\cdot \frac{100}{40}=2.5liters\]

Answer 14

Lemon juice is 60% of the total liquid,\[\Large\rm \ell = .6t\qquad\to\qquad \ell =.6(2.5)\]

Answer 15

I'm still not sure exactly what they want for part A....
But that should get us part B at least.

Answer 16

okay

Answer 17

lol i still need help @zepdrix

Answer 18

So the water is 1 liter. That's 40% of the liquid.
The total liquid is 2.5 liters.

The lemon juice is 60% of those 2.5liters.
So just multiply .6 by 2.5 to get the amount of lemon juice in the bottle.

Answer 19

so 1.5? @zepdrix

Answer 20

Mmmm yes good!
That deals with part B.

Answer 21

okay thanks :)

Answer 22

For part A maybe something like....\[\Large\rm t=.60t+.40t\]Where \(\Large\rm t=total~liquid\) and \(\Large\rm .40t=1\)

Answer 23

I dunno, move on to the next one!
This problem sucks +_+

Answer 24

lol i figure the rest out by myself but thanks for the help with this one. you're a genius
@zepdrix