Question

QUICK HELP PLEASE!

Answer 1

can you help me with this:

At Taco Heaven, Henry bought 3 tacos and 2 burritos for $3.85. Hester bought 3 burritos and 2 tacos for $4.05. How much does each taco and each burrito cost?

A. Define variables for the unknowns

Answer 2

@kidrah69 and this is the other part (its all one question)

B. Write a system of equations to model the problem.

Answer 3

"A. Define variables for the unknowns"

how far did you get with this part?

Answer 4

i'm just now starting lol

Answer 5

so you're stuck on what the unknowns are?

Answer 6

i want some to walk me through it, i want to learn it. a lot of people just want answers but i don't

Answer 7

good to know.

Answer 8

let's jump to the question they ask: "How much does each taco and each burrito cost?"

Answer 9

@Sepeario can you help me?

Answer 10

can you determine the unknowns from the question `"How much does each taco and each burrito cost?"`

Answer 11

at this point I don't want the numbers but just the letters

Answer 12

see that is where i get stuck, i don't know which one is x and which one is y

Answer 13

it really doesn't matter as long as you stay consistent

Answer 14

what do you want to make x and y?

Answer 15

x can burritos and y can be tacos?

Answer 16

what specifically about burritos?

Answer 17

x = burritos

is too vague

Answer 18

is it the number of burritos?

or

is it the cost of one burrito?

Answer 19

cost of one?

Answer 20

wait the number because we are trying to find the cost right?

Answer 21

yes correct

Answer 22

so

x = cost of one burrito
y = cost of one taco

Answer 23

"Henry bought 3 tacos and 2 burritos for $3.85"

what equation can we form with this info?

Answer 24

3x+2y= $3.58?

Answer 25

i mean 3.85

Answer 26

go back to how we defined x and y

x = cost of one burrito
y = cost of one taco

Answer 27

once the definitions are set up, stick to those definitions throughout the whole problem

Answer 28

that's why it was 3 burritos so it would be 3x right?

Answer 29

well it says

"Henry bought 3 tacos and 2 burritos for $3.85"

so you mixed up the two items

Answer 30

oops sorry, here's the question again lol but year you were right

At Taco Heaven, Henry bought 3 tacos and 2 burritos for $3.85. Hester bought 3 burritos and 2 tacos for $4.05. How much does each taco and each burrito cost?

Answer 31

I'm only focusing on the first sentence

Answer 32

`Henry bought 3 tacos and 2 burritos for $3.85`

x = cost of one burrito
y = cost of one taco

what equation can we form?

Answer 33

ok so it would be

3y+2x= $3.85?

Answer 34

yes

Answer 35

we will drop the $ sign for now

Answer 36

so just 3y+2x = 3.85

Answer 37

what is the other equation?

Answer 38

3x+2y= 4.05?

Answer 39

yes

Answer 40

we have these 2 equations

3y+2x = 3.85
3x+2y = 4.05

Answer 41

which method do you want to use to solve for (x,y) ?

Answer 42

i am not sure

Answer 43

which methods do you know about?

Answer 44

linear equation?

Answer 45

here are the methods to solve a system of equations

1) substitution
2) elimination/addition
3) graphing
4) using matrices

which method have you learned about?

Answer 46

substitution

Answer 47

ok let's pick one of the equations, say the first one 3y+2x = 3.85

what do you get when you solve for y?

Answer 48

so far i have

3y= 3.85/3-2x-3

Answer 49

you subtract 2x first

then you divide everything by 3 to isolate y

Answer 50

it'll be like

3y/3= 3.85/3?