The table shows the total number of hamburgers and hot dogs sold at a food stand at a local on two separate days. it also shows the dollar amount taken in each day.
day 1.) hamburgers - 200 hot dogs - 150 total - $1,450
day 2.) hamburgers - 200 hot dogs - 250 total - $1,750
what is the cost of a hamburger and a hot dog?

hamburger -
hot dog -

Given:
Day    Hamburger    Hot dog     Sales
1         200              150           1,450
2         200              250           1,750

Let y be the price of the hamburger and x be the price of the hot dog.

   200y + 150x = 1,450
-(200y + 250x = 1,750)
              - 100x  = -300
                        x = -300/-100
                        x = 3

Each hot dog costs $3.
          
Day 1:
200y + 150(3) = 1,450
200y = 1,450 - 450
200y = 1,000
y = 1,000/200
y = 5

Day 2
200y + 250x = 1,750
200(5) + 250(3) = 1,750
1000 + 750 = 1,750
1,750 = 1,750

The cost of a Hamburger is $5 while the cost of a Hot dog is $3.