Question

You are having a pool party and want to order 5 large pizzas. The pizza shop charges $3.75 for delivery. You have 58 dollars to spend. Which inequality can you use to find the most money you can spend on each pizza ?

Answer 1

What's the constant in the inequality?

Answer 2

Are you here? @Mick31

Answer 3

nevermind I got my answer thank you .

Answer 4

What did you get?

Answer 5

\[m \le 58-3.75 \over 5\]

Answer 6

that's not correct.

Answer 7

Wait!

Answer 8

?

Answer 9

Yes, that's not correct.

Answer 10

So you have a maximum of 58 dollars, correct?

Answer 11

yes

Answer 12

Which one should you choose then?

Answer 13

I thought it was C but maybe Im wrong . Im a bit confused on this equation ... is it C ?

Answer 14

No. Think about it. You have a maximum of 58 dollars. When you say C, then you're saying that you can spend 58 dollars or more.

Answer 15

Oh oh , right so my answer would be D ?

Answer 16

Yes.
So now your inequality should look like 58 ≥

Now. You have to spend 3.75 dollars for free.
So what does your inequality look like now?

Answer 17

3.75 for fee*

Answer 18

Im confused again . I know my fee is 3.75 dollars . but I forgot how to get my answer to getting how much each pizza would be .. Im a bt lost .

Answer 19

Don't worry. I'm doing it step-by-step. So if you have to pay 3.75.
What does your inequality looks like now?

Answer 20

I don't really know ..

Answer 21

Im doing something wrong .

Answer 22

The one I'm doing is correct. Trust me.

So you have 58 ≥.
Which mean 58 dollars greater than or equal to [Something]
You have to pay a fee.
So you would have 58 ≥ ?

Answer 23

the $ 3.75 ??

Answer 24

Yes.
So you have 58 ≥ 3.75
But is it
A. 58 ≥ 3.75 +
Or is it
B. 58 ≥ 3.75 -

Answer 25

b

Answer 26

Hmm. Let's go it with your way, for now. So now you want to buy 5 pizzas. But you don't know how much it cost.
So we use x, which mean the cost of 1 pizza.

So what does your inequality looks like now?

Answer 27

I don't know how I would get that answer

Answer 28

Alright... I'm gonna teach it to you logically.
So you have 58 dollars.
You have to pay a fee of 3.75.

So do you subtract 58 from 3.75 or do you add it?

Answer 29

I mean want to buy pizzas but I don't know how much it costs so , I have the 58 dollars and I know I have to pay off the fee and then still pay for the pizza's . So I subtract the 58 dollars from 3.75 dollars . Correct ?

Answer 30

Yes. So now how much monoey od you have now?

Answer 31

do*

Answer 32

58.00
3.75
_______________
$54.25

Answer 33

Okay. So we have 54.25 dollars left.

We want to buy 5 pizzas.
So what can we do next?

Answer 34

Couldn't we divide the 54.25 into each pizza to see how much money would go into each pizza and that would be what it costs???? or did I over think it?

Answer 35

Divide what by 54.25?

Answer 36

5 pizzas

Answer 37

What does that give us?

Answer 38

10.85 dollars

Answer 39

Alright.
So if we want to use up all our money to buy 5 pizzas.
Then that means that each pizza must cost 10.85.
So remember before? 58 ≥
We want to go backward to get our inequalit. ;)
So what does 10.85 * 5 give us?

Answer 40

it gives us ; 54.25 !!!

Answer 41

Alright. So 58 ≥ [54.25] [?]

We're missing something.
Do you remember what we are missing?

Answer 42

the 5 that we multiplied ?

Answer 43

Yes, that too. But do you remember about the fee?

Answer 44

Do you add it to 54.25 or subtract it?

Answer 45

oh yes . the 3.75

Answer 46

we subtract

Answer 47

But I thought we already subtracted it because our main number was 58 dollars

Answer 48

But do you remember that we completly went to 58 to 1?
So do you think we subtract or add?

Answer 49

I thought we subtract ..

Answer 50

I lied. :3
Anyway, think about it.
If you subtract 3.75 to 54.24 then that means that the cost of each pizza should be greater.

Answer 51

So we get 58 ≥ [54.24] + 3.75.

Now in an inequliaty, there's usually a variable.

54.24 represent the cost of the 5 pizzas, correct?

Answer 52

Ohhh
yes.

Answer 53

Actually wait. We want to buy 5 pizzas.

Remember, that x represent the cost of each pizza.

So what does 5x mean?

Answer 54

5, 5 times

Answer 55

5x5x5x5x5??

Answer 56

5x = 5 * x
So 5 pizzas * the cost of each pizza would represent the total cost of the 5 pizzas. Make sense so far?

Answer 57

yes .

Answer 58

So we our inequality would be:
58 ≥ 5x + 3.75

Does it make sense?
You can solve it if you want.

Answer 59

It makes sense ,

Answer 60

Great! Sorry for the little confusion in the beginning.

Answer 61

its fine
thank you!!

Answer 62

Oh wait. Wrong inequality. Yes, you were right.

Answer 63

oh , but see im lot though which would be the right answer ;;

Answer 64

It would be x ≤ 10.85

Since x represent the cost of 1 pizza.