One week, Huang ord… - QuestionCove
OpenStudy (thecatman):

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.

3 years ago
OpenStudy (thecatman):

@doc.brown

3 years ago
OpenStudy (thecatman):

i think b

3 years ago
OpenStudy (doc.brown):

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

3 years ago
OpenStudy (thecatman):

so would it be B

3 years ago
OpenStudy (doc.brown):

$1x+2y=12$$3x+4y=30$

3 years ago
OpenStudy (thecatman):

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

3 years ago
OpenStudy (doc.brown):

$1x+2y=12$$1x=12-2y$ Does that seem reasonable? 1 pizza is $12 minus the cost of 2 sodas. 3 years ago OpenStudy (thecatman): ? now i'm confused 3 years ago OpenStudy (doc.brown): Does this makes logical sense?$1x+2y=12$ 3 years ago OpenStudy (thecatman): yes 3 years ago OpenStudy (doc.brown): If I subtract the cost of 2 sodas from both sides i get$1x+2y=12$$1x+2y-2y=12-2y$2y-2y is 0 so$1x=12-2y$ 3 years ago OpenStudy (thecatman): sorry i had to put my pet away 3 years ago OpenStudy (doc.brown): That's what she said. 3 years ago OpenStudy (thecatman): ok 3 years ago OpenStudy (thecatman): ha ha you got me 3 years ago OpenStudy (yanasidlinskiy): A pizza costs$6 and a soda costs \$3

3 years ago
OpenStudy (thecatman):

thanks

3 years ago
OpenStudy (yanasidlinskiy):

np:)anytime

3 years ago
OpenStudy (doc.brown):

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$

3 years ago