@mehek14

the table shows the total number of hamburgers and hot dogs sold at a food stand at a local fair on two separate days. it also shows the dollar amount taken in each day.
hamburgers hot dogs total
day 1 200 150 $1,450
day 2 200 250 $1,750

what is the cost of a hamburger and the cost of a hot dog?

enter your answers in the boxes.

X=cost per hamburgurs
y=cost per hot dog

200x+150y=1450
200x+250y=1750

we can multiply first equation by -1 and add to 2nd

-200x-150y=-1450
200x+250y=1750 +
0x+100y=300

100y=300
divide both sides by 100
y=3

sub back

200x+150y=1450
200x+150(3)=1450
200x+450=1450
minus 450 both sides
200x=1000
divide both sides by 200
x=5

the cost of a hamburgur is $5
the cost of a hot dog is $3

The cost of a hamburger is $5 dollars and a hot dog is $3 dollars.

Hope I helped you!

Were is the diagram?