Question

Medals given
Meg has a can that contains 80% of orange juice and the rest water. The can 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 orange juice and water in the can. Define the variable used in the equation.

Part B: How many liters of orange juice are present in the can? Show your wor

Answer 1

Ok, lets let x be 80% orange juice and 20% water.
The amount of water= x*20/100, which is 0.2x
The amount of water is 1 in the problem, so 0.2x=1 is the the equation where x is the total number of both orange juice and water. Does that make sense? lol

Answer 2

That's part A , for part B, you would do 0.2x=1, so divide both sides by 0.2, so x=1/0.1=

Answer 3

...5, so that's the total of the orange juice and water. now 80% is orange juice, so 5*80/100 is what?

Answer 4

..It's 4. 4 Liters of orange juice. Hope I helped!

Answer 5

I'm sorry, I was in the kitchen at the time you were giving me the answers. I wasn't ignoring you I swear. It helped immensely thank you so much

Answer 6

Haha, it's fine, don't worry :) Thanks for the medal by the way! Any more questions?

Answer 7

Sadly if you'd like to answer. I'm not very bright with numbers/.\

Answer 8

Haha, it's fine!

Answer 9

In a certain town, the inches of rainfall, x, on a certain day is described by two statements:


If 3 times the rainfall is increased by 2, the rainfall is still less than 26 inches.
5 plus twice the rainfall is greater than 11 inches.


Part A: Create a compound inequality to represent the rainfall range

Part B: Can the rainfall in this town be 4 inches? Justify your answer by solving the inequalities in Part A.

Part C: The average rainfall in another town is 5 inches, but the actual rainfall is within 4 inches of the average. Write and solve an inequality to find the range of rainfall height in this town.

Answer 10

Ok, for part A you know what a compound inequality is?

Answer 11

3x+2<26 would be your first inequality, and a compound inequality is basically when you have 2 >/< signs.

Answer 12

So for your second inequality, it would be 5+2x>11 . We know this because of the phrases in the information, you just have to look at the numbers and focus on what you have to do with them. So, now we have to make the compound inequality.

Answer 13

hold on I just got very confused let me read over

Answer 14

lol okie

Answer 15

To sum everything up, let's start with the basics. An inequality is when you use a > or <. So a compound inequality means you're using two, and the inequalities are related somehow. Does that make sense?

Answer 16

Yes it does. I was confused for a different reason when we make the compound inequality though, do we solve each one separately?

Answer 17

No, you don't have to solve them, you're making the inequality instead of solving it.

Answer 18

So when they said that even when the rainfall is multiplied by 3 and +2, it's still less than 26. So how would we turn that into an inequality?

Answer 19

I'm probably extremely wrong but, would we just put the 2 equations together? I'm really lost on this chapter /.\

Answer 20

It's fine, well you're going to have to put the two inequalities together anyways, but a compound inequality has two inequalities. The first one would be x*3+2<26 so that's the first half of your inequality.

Answer 21

The second half would be 5+2x>11. Do you have an idea of how we would relate the two inequalities?

Answer 22

The inequality signs?

Answer 23

Well, I understand how you could get that answer, but the signs are what make an inequality, you can't relate them like that. (don't worry i hate math too lol) What you would do is really easy, just put 'and' in between! So do you have an idea of what the compound inequality would look like?

Answer 24

3x+2<26 and5+2x>11

Answer 25

Great job! Ok, so that's part A. You'll need to keep that compound inequality in mind for B and C.

Answer 26

So B is asking if there's any way that x can be 4. Do you think it's possible?

Answer 27

Um, no I don't think so.

Answer 28

3x+2<26 would be x<8 and 5+2x>11 would be x>3

Answer 29

Good, you're right, so it's simple to prove this with out compound inequality. You would say that 3+2 already equals 5, so there's no way.

Answer 30

Now for C, it's kinda tricky. They're saying that the average, or mean of the rainfall is 5, but the actual rainfall is 4 inches within this mean.

Answer 31

Yeah thats kind of confusing me

Answer 32

So what they're asking is, what is the actual rainfall? That's pretty easy, it can be either 9 or 1, so what's the range of this?

Answer 33

But don't we have to write an inequality for it?

Answer 34

Yes, you'll get it when you find the difference, it seems a bit confusing, i know, but basically the difference between 9 and 1 would be 8. So, x>8 Does that make sense?

Answer 35

Oops, actually you would flip the sign, it's x<8 xD

Answer 36

so 9 then?

Answer 37

No, you don't know the exact number, it needs to stay an inequality. It could be any number less than 8.

Answer 38

Oh, okay I confused myself lol. so just put it as 1?

Answer 39

Nooo lool It needs to stay an inequality, meaning it HAS to have a < or > in it. So the answer is literally x<8. Get it?

Answer 40

I'm so stupid omg. okay yes I think I understand I know I get that part

Answer 41

Lol it's fine I actually used to be horrible at math but luckily i learned this already xD Hope I helped!

Answer 42

Maybe a miracle will happen and I'll understand everything on my own xD Thank you so much!

Answer 43

Haha! You're welcome, you can tag me if you need help again!