Question

Celeste wants to have her hair cut and permed and also go to lunch. She knows she will need $86. The perm cost twice as much as her haircut and she needs $5 for lunch. How much does the perm cost ?

Answer 1

Do you know how to set up a system of equations?

Answer 2

I do not can you explain ?

Answer 3

Ok, so what could we add up to get that total $86?

Answer 4

ok so the $5 for lunch

Answer 5

ok, what else? Let's say the perm costs x dollars

Answer 6

the perm cost twice as much as her haircut

Answer 7

right, so if the *haircut* costs x dollars, the perm costs? (sorry had a dyslexic moment)

Answer 8

i have no idea i've never set up this system you'd multiply 5 by ?

Answer 9

You said "the perm costs twice as much as her haircut"
^ ^
? x

Answer 10

5*2?

Answer 11

you don't do anything to the 5

Answer 12

2*5

Answer 13

the 5, is a five, is a five. It does not affect the perm

Answer 14

so you add 3 things together to get $86 right?

Answer 15

so so we divide 86 ?

Answer 16

What 3 things in terms of x?

Answer 17

so thre's 81 dollars left so is estimated around 40 dollars divided evenly each ?

Answer 18

no, you don't divide we are just setting up the eq

Answer 19

you want something that looks like this
a+b+c=86

Answer 20

no leave the 5 alone

Answer 21

ohh ok so do we plug number in any numbers or ?

Answer 22

yes, ok smaller ex. you go to get gas and a coffee. The gas is 4 times the price of the coffee. The total was $25

Answer 23

So call coffee c, this yeilds the eq: 4c+c=25 Do you see how I got that?

Answer 24

ohh ok so your just using the coffee to find the solution ?

Answer 25

yes, now let's say I got a coffee a candy bar and gas. The candy bar was 1.25 now i'm spending 26.25

Answer 26

so that adds a variable to your equation ?

Answer 27

that gives us, 4c+c+1.25=26.25

Answer 28

nope, we know the price, so, it's just there

Answer 29

Do you see now?

Answer 30

oh ok and yea so how would you figure that out when all we know is that it cost 25 dollars and the gas is four time the price of the coffee

Answer 31

Well see the eq?

Answer 32

we have 4c+c+1.25=26.25. (I changed the final price to make things easier. So do we have any like terms we can combine?

Answer 33

yea we have 2 c's so do you combine them like so \[c ^{2}\]

Answer 34

no, they are not being multiplied. Just add them

Answer 35

so give me an example of what it'd look like ?

Answer 36

what is 3+4?

Answer 37

the perm cost 30 bucks

Answer 38

idk, I haven't solved it yet

Answer 39

but, no that is not correct

Answer 40

so it'd be c+c

Answer 41

first, what is 3+4?

Answer 42

what is (3+4)c?
What is 3c+4c?