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. (5 points)

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

Answer 1

Who can answer a question of mine?

Answer 2

It has two parts

Answer 3

@robtobey

Answer 4

@Vocaloid @welshfella

Answer 5

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

Answer 6

* 60 %

Answer 7

40%

Answer 8

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

Answer 9

solve this for x

Answer 10

Uh, 2.5?

Answer 11

yep

Answer 12

So what would the equation look like?

Answer 13

theres a total of 2.5 liters of the mixture in the bottle

Part B volume of lemon juice = 0.6 * 2.5

Answer 14

the equation is 0.4x = 1

Answer 15

where x is the volume of lemon juice+ water

Answer 16

What does the * stand for again?

Answer 17

multiply

Answer 18

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

Answer 19

yes

Answer 20

... 1.5

Answer 21

60% = 0.6

Answer 22

thats correct 1.5 liters of lemon juice are in the mixture

Answer 23

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

Answer 24

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)

Answer 25

Sorry No
I have to go right now,

Answer 26

Oh alright. Thank you!

Answer 27

@nincompoop @Hero

Answer 28

Answered that photocopy question years ago.

Answer 29

Huh?

Answer 30

Good luck finding it

Answer 31

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

Answer 32

?

Answer 33

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

Answer 34

Not one bit. Never really understood inequalities.

Answer 35

What We want:

Cost of rented photocopier < Cost of college photocopier

Answer 36

Right.

Answer 37

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

Answer 38

what is the cost of the rented photocopier?

Answer 39

That's what I need most help with

Answer 40

$90

Answer 41

What does the last sentence of the first paragraph say?

Answer 42

.03 per page

Answer 43

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

Answer 44

So we should let ''per Page" represent x

Answer 45

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

Answer 46

Actually yes 90 + .03x is correct

Answer 47

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

Answer 48

3000

Answer 49

Where does 3000 come from?

Answer 50

I divided 90/.03

Answer 51

For what reason?

Answer 52

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

Answer 53

What was the last thing I asked you to find?

Answer 54

The cost for photocopying with the rented copying machine

Answer 55

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

Answer 56

What is the cost for using the other machine?

Answer 57

Oh oops
0.08

Answer 58

0.08x

Answer 59

So knowing this, how should We setup the inequality?

Answer 60

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

Answer 61

Remember we want

cost of rented machine < Cost of college machine

Answer 62

Replace each with their appropriate expressions.

Answer 63

... Not sure

Answer 64

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

Answer 65

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

Answer 66

One second...

Answer 67

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

Answer 68

Hello?

Answer 69

@Hero

Answer 70

@hero is offline now

Answer 71

How'd you know? @Bossvideogamer21

Answer 72

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

Answer 73

Oh.