the walker family ordered 4 hot dogs and 3 cheeseburgers for $23.75 and the Baldwin family ordered 6 hot dogs and 2 cheeseburgers for $25. write a system of equations using h for hot dogs and c for cheeseburgers
4h + 3c = 23.75
6h + 2c = 25
How much is 1 hot dog and how much is 1 cheeseburger
To find the cost of one hot dog and one cheeseburger, we can solve the system of equations:
4h + 3c = 23.75
6h + 2c = 25
First, we can multiply the first equation by 2 and the second equation by 3 to eliminate c:
8h + 6c = 47.5
18h + 6c = 75
Subtracting the first equation from the second, we get:
10h = 27.5
h = 2.75
Now, we can substitute h back into the first equation to solve for c:
4(2.75) + 3c = 23.75
11 + 3c = 23.75
3c = 12.75
c = 4.25
Therefore, one hot dog costs $2.75 and one cheeseburger costs $4.25.