Question

Jason paid $15.50 for 3 slices of pizza and 2 burgers. Susan paid $20 for 1 slice of pizza and 4 burgers.

Fill in the following:(Do NOT include a $ in your answer)

Each slice of pizza costs $

____________________.

Each burger costs $

______________________

Answer 1

@Vocaloid

Answer 2

@dude

Answer 3

We can set x = pizza and y = burgers
For Jason we can say:
3x+2y=15.50

For Susan we can say:
x+4y=20

Answer 4

i have a pic

Answer 5

Sure, make sure to include any image that relates to the question!

Answer 6

We can solve the 2 equations using the system of equations
\(3x+2y=15.50\\
x+4y=20\)
Do you want to solve by substitution of by elimination?

Answer 7

correction, or*

Answer 8

sure but do you know what those two last lines mean ?

Answer 9

Here's the hints

Hint 1

Write the two equations that represent the given information. Let p = cost of a slice of pizza and let b = cost of a burger. Keep in mind how many pizzas and burgers each person bought.

Hint 2
The equation for 3 pizzas and 2 burgers is 3p+2b=15.50.

Hint 3
To solve, you will add the two equations. Use the distributive property to multiply one of the equations such that when you add them, one of the terms cancels out.

Answer 10

Sure, we did the same thing only with different variables
\(3x+2y=15.50\\
x+4y=20\)

We can multiply the second equation by -3 to get rid of x

\(3x+2y=15.50\\
\color{red}{-3(}x+4y=20\color {red}{)}\)

Answer 11

those are the equations for the two lines ?

Answer 12

Yep

Answer 13

After distributing we get
\(3x+2y=15.50\\
−3x-12y=-60\)
now we just add both equations

Answer 14

ok from the beginning

Each slice of pizza costs $

____________________________
.

Each burger costs $

_____________________

Answer 15

Do you want me to re-explain what I just did?

Answer 16

yes please not to be confusing

Answer 17

Alright so we have to get 2 equations that represent the cost of the burgers and pizza Jason and Susan ate

Answer 18

ok

Answer 19

We can set p= pizzas and b= burgers

Answer 20

k

Answer 21

Jason ate 3 slices of pizza and 2 burgers, so we can write
3x+2y

We also know that the cost for everything he ate was $15.50 so we can set that equal to the number of items bought

\(3x+2y=15.50\)

Answer 22

do i right this for jason 3x + 2y = 15.50 or just 15.50 ?

Answer 23

3x + 2y = 15.50
This one

Answer 24

ok now for burger

Answer 25

Hmm, y is the burgers
Did you mean Susan?

Answer 26

yes sir

Answer 27

So we know that Susan ate 1 slice of pizza and 4 burgers, so we can write
1x+4y

The cost for everything she bought was $20, so we set it equal to the items eaten

\(\color{red}{1x+4y=20}\)

Answer 28

1x + 4y = 20 for burger ?

Answer 29

Susan* yes

Answer 30

ok for the two lines i write these right

3x + 2y = 15.50

1x + 4y = 20

Answer 31

Right

Answer 32

So now we solve using system of equations

Answer 33

\(\color{#0cbb34}{\text{Originally Posted by}}\) @mikewwe13
The coefficients of the terms must be opposites, so they will have a sum of 0.
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 34

ok that's it ?

Answer 35

thx a lot i appreicate it dude

Answer 36

No, we still need to solve for x and y

Answer 37

Ahhh that was not the answer!