Question

Julia has 80$ she wants to purchase a nail plant set for 16$. She spends the rest of the money on earrings. Each pair costs 8$ write an inequality for the number of pair of earrings she can purchase.

Answer 1

firstly, take the total amount of money you have to spend. make that y. then, think about this: can the $80 be less than, or must it be greater than how much you spend in the end?

Answer 2

so 64?

Answer 3

no, don't solve anything, just tell me if it's going to be less than or greater than based on what I said.

Answer 4

OK

Answer 5

actually, keep the 64 in mind but keep finding what I asked.

Answer 6

doesn't it have to be less than? because you have to keep in mind of the 16$?

Answer 7

you are right, but your reasoning is confusing. remember that you have 64 left over, not spent.

Answer 8

Yeah thats what I meant sorry.

Answer 9

so, from that, the beginning of the equation is 64 is less than or equal to... now, do you understand why it's "or equal to"?

Answer 10

No im not sure.

Answer 11

ok. think of it this way: if I want to buy as many $5 items as possible, and I have $17, then it's less than or equal to. but, in the same way, you could say that if you had $15, it's still less than or equal to because it COULD be the exact amount you spend, but it may not be.

Answer 12

Yeah, I understand.

Answer 13

ok, so once again, how much do you have now to spend, after you spend the $16?

Answer 14

I have 64$ to spend.

Answer 15

yep, so the equation is now "64 is less than or equal to..." (something). Now consider this: how much is each pair or earrings?

Answer 16

8$ so pretty much how many times it goes into 64?

Answer 17

21.

Answer 18

yes, in a way, but you have to state it in an inequality.

Answer 19

Okay so, I have to make the inequality in the end equal 21?

Answer 20

just make the inequality, don't worry about what it equals.

Answer 21

How exactly? c;

Answer 22

you already have the first half, tell me that.

Answer 23

o.o Im not really sure could you give me an example

Answer 24

look back in the conversation, I told you the first half twice.

Answer 25

Okay so 64 is less than or equal to, and I have 64 to spend after the purchases.

Answer 26

no, BEFORE the final purchases. now, take the cost of each new item, and attach the variable to it.

Answer 27

before all purchases? so add 80 or 64 to the equation?

Answer 28

no, we already have that in the equation, no need to put it back in where it already is. You already have half: \[64\le...\] Now add the other half as I have described.

Answer 29

Okay, Sorry.

\[64 \le 21\]

Answer 30

64 is less than or equal to 21.

Answer 31

no, (partly), the first part is right, but you must have a variable to allow us to input the quantity bought. remove the 21.

Answer 32

okay so..
\[64 \le \] so then add a variable such as: X

Answer 33

indeed. but in front of it must be a coefficient in this case to denote how much each "x" (or item bought) is. so, how much is each item?

Answer 34

The items are 8$
Not including: 16$

Answer 35

the $16 is done with, leave it alone. but you're right about the price. So, take that, and make it the coefficient to the variable, x.

Answer 36

\[64 \le 16x\]

Answer 37

correct. :) there ya go.

Answer 38

Thats all?

Answer 39

that's all it asks for, according to your initial question.

Answer 40

0.0 thanks dude!
Your quite a good teacher my math teacher isn't very helpful.

Answer 41

Nor is and was mine. I'm glad I could help. Feel free to message me with any future problems.

Answer 42

okay c:

Answer 43

One question, how can you know if its less than or more than?

Answer 44

when you are spending money, you can't spend negative cash, so the final cost must be less than or equal to the money you brought.

Answer 45

Great Thanks Again!

Answer 46

Anytime.

Answer 47

the answer is \[8x+16\le80\]

Answer 48

Two things Chris: never just give answers. and two: it had already been answered, no need to repeat answers.

Answer 49

sorry didn't read all of your comments I figured both of you were confused so I just gave you the answer to work with if you didn't know it already

Answer 50

Understood, just make sure to read all the replys next time before you answer it.