Question

One week, Huang ordered 1 pizza and 2 sodas for $12. The next week, he ordered 3 pizzas and 4 sodas from the same restaurant for $30. Write and graph a system of equations to determine the cost of each pizza and the cost of each soda from this restaurant.
Let x = the cost of a pizza
Let y = the cost of a soda

A pizza costs $8 and a soda costs $4.

A pizza costs $6 and a soda costs $3.

Individual costs cannot be determined. There is no solution.

There are many possible costs for each. There are infinitely many solutions.

Answer 1

@doc.brown

Answer 2

i think b

Answer 3

1 pizza plus 2 sodas is $12
3 pizzas plus 4 sodas is $30

Let x = the cost of a pizza
Let y = the cost of a soda

Answer 4

so would it be B

Answer 5

\[1x+2y=12\]\[3x+4y=30\]

Answer 6

by your calculations i would say yes because pizzas= 6 and sodas= 3 when add i pizza and two sodas you get 12

Answer 7

\[1x+2y=12\]\[1x=12-2y\]
Does that seem reasonable?
1 pizza is $12 minus the cost of 2 sodas.

Answer 8

? now i'm confused

Answer 9

Does this makes logical sense?\[1x+2y=12\]

Answer 10

yes

Answer 11

If I subtract the cost of 2 sodas from both sides i get\[1x+2y=12\]\[1x+2y-2y=12-2y\]2y-2y is 0 so\[1x=12-2y\]

Answer 12

sorry i had to put my pet away

Answer 13

That's what she said.

Answer 14

ok

Answer 15

ha ha you got me

Answer 16

A pizza costs $6 and a soda costs $3

Answer 17

thanks

Answer 18

np:)anytime

Answer 19

You know one pizza is 12-2y, so now 3 pizzas are 3(12-2y) I'll stick it in your second equation.\[3x+4y=30\]\[3(12-2y)+4y=30\]\[36-6y+4y=30\]\[36-30=6y-4y\]\[2y=6\]\[y=3\]