The Walker and Baldwin families ordered lunch at the refreshment stand at the basketball game. The Walker family ordered 4 hot dogs and 3 cheeseburgers and paid $23.75. The Baldwin family ordered 6 hots dogs and 2 cheeseburgers and paid $25.
To find the price of each item, we can set up a system of equations:
Let x be the price of a hot dog and y be the price of a cheeseburger.
From the information given:
4x + 3y = 23.75
6x + 2y = 25
Now we can solve the system of equations.
First, multiply the first equation by 2 and the second equation by 3 to eliminate y:
8x + 6y = 47.5
18x + 6y = 75
Subtract the first equation from the second:
10x = 27.5
x = $2.75
Now, plug this value back into the first equation to solve for y:
4(2.75) + 3y = 23.75
11 + 3y = 23.75
3y = 12.75
y = $4.25
So, the price of a hot dog is $2.75 and the price of a cheeseburger is $4.25.