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. Hamburger: $ Hot dog: $

Hamburgers and hot dogs are sold at a food stand at a local fair on two separate days.

On day 1, 200 hamburgers and 150 hotdogs were sold and a total of $1450 was taken in for all.

On day 2, 200 hamburgers and 250 hotdogs were sold and a total of $1750 was taken in for all.

No, we have to find the cost of the hamburger and hotdog.

So let's form an equation with the given data:

Let's assume hamburger= x and hotdog= y

Day 1: 200x + 150y = 1450 …eqn¹

Day 2: 200x + 250y = 1750 …eqn²

Let's take x's value from eqn¹

200x + 150y = 1450

200x = 1450 -150y

x = (1450 - 150y)/200

∴ Let's put this in eqn²

200x + 250y = 1750

200[(1450- 150y)/200] + 250y = 1750

(1450- 150y) + 250y = 1750

250y - 150y = 1750-1450

100y = 300

y = 300/100

y = 3

Now put y=3 in eqn¹

200x + 150y = 1450

200x + 150(3) = 1450

200x + 450 = 1450

200x =1450 -450

200x = 1000

x = 1000/200

x = 5

So the cost of a hamburger is $5 and the cost of hotdog is $3.