Question

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 -

Answer 1

5 and 3

Explanation:

hope this helps :)

Answer 2

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.