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)

- anonymous

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- anonymous

Who can answer a question of mine?

- anonymous

It has two parts

- anonymous

@robtobey

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## More answers

- anonymous

@Vocaloid @welshfella

- welshfella

if there is 60 5 lemon juice what percentage of water is in the mixture?

- welshfella

* 60 %

- anonymous

40%

- welshfella

right
so if there is a total of x liters in the bottle
we have
0.4x = 1 because theer is 1 liter of water

- welshfella

solve this for x

- anonymous

Uh, 2.5?

- welshfella

yep

- anonymous

So what would the equation look like?

- welshfella

theres a total of 2.5 liters of the mixture in the bottle
Part B volume of lemon juice = 0.6 * 2.5

- welshfella

the equation is 0.4x = 1

- welshfella

where x is the volume of lemon juice+ water

- anonymous

What does the * stand for again?

- welshfella

multiply

- anonymous

Oooh I see. So I need to multiply 0.6 and 2.5?

- welshfella

yes

- anonymous

... 1.5

- welshfella

60% = 0.6

- welshfella

thats correct 1.5 liters of lemon juice are in the mixture

- anonymous

Awesome! Ya think you can help me with one more?

- anonymous

Emily uses her college photocopier machine to photocopy at the rate of $0.08 per page. She decides to rent a photocopier machine for $90 a year. The cost of photocopying using the rented machine is $0.03 per page.
Part A: Write an inequality that can be used to calculate the number of pages that Emily should photocopy in a year so that the amount she pays for the rented machine is less than the college machine. Define the variable used. (5 points)
Part B: How many pages should Emily print in a year to justify renting the photocopier? Show your work. (5 points)

- welshfella

Sorry No
I have to go right now,

- anonymous

Oh alright. Thank you!

- anonymous

@nincompoop @Hero

- Hero

Answered that photocopy question years ago.

- anonymous

Huh?

- Hero

Good luck finding it

- anonymous

... You're not going to help me..?

- anonymous

?

- Hero

Do you have an idea Of how to set it up?

- anonymous

Not one bit. Never really understood inequalities.

- Hero

What We want:
Cost of rented photocopier < Cost of college photocopier

- anonymous

Right.

- Hero

The cost of both are given in the problem . All you have to do is write the appropriate expression for each

- Hero

what is the cost of the rented photocopier?

- anonymous

That's what I need most help with

- anonymous

$90

- Hero

What does the last sentence of the first paragraph say?

- anonymous

.03 per page

- Hero

Yes,Âµ+ we don't know how many pages gÂµ will have to photocopy in order for the price of photocopying using the rented machine to be less than that of the College machine.

- Hero

So we should let ''per Page" represent x

- Hero

So the cost of photocopying using the rented machine is represented by .03x

- Hero

Actually yes 90 + .03x is correct

- Hero

Which means the cost for photocopying using the college machine is...?

- anonymous

3000

- Hero

Where does 3000 come from?

- anonymous

I divided 90/.03

- Hero

For what reason?

- anonymous

Wait, was I supposed to solve 90 + .03x?

- Hero

What was the last thing I asked you to find?

- anonymous

The cost for photocopying with the rented copying machine

- Hero

We found the expression for the cost of using the rented machine already.

- Hero

What is the cost for using the other machine?

- anonymous

Oh oops
0.08

- Hero

0.08x

- Hero

So knowing this, how should We setup the inequality?

- anonymous

I don't know; it only says the cost per page.

- Hero

Remember we want
cost of rented machine < Cost of college machine

- Hero

Replace each with their appropriate expressions.

- anonymous

... Not sure

- Hero

The cost per page adds UP to the total cost of using each machine.

- Hero

If you have something like 200 pages worth Of stuff to photocopy, it's going to cost More than just $0.08

- anonymous

One second...

- anonymous

So for part A, we need to find an amount of pages that will be cheaper with the rented copier?

- anonymous

Hello?

- anonymous

@Hero

- Bossvideogamer21

@hero is offline now

- anonymous

How'd you know? @Bossvideogamer21

- Bossvideogamer21

because i looked at his profile it says he's offline

- anonymous

Oh.

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