Answer:
Step-by-step explanation:
H=Hotdog
C=Corndog
The number of hotdogs sold was three fewer than twice the number of corndogs. This can be written as:
h = 2c - 3
hotdog costs $3 and a corndog costs $1.50. The total amount collected from selling hotdogs and corndogs is $201. Said as:
3h + 1.5c = 201
Now we have a system of equations:
h = 2c - 3
3h + 1.5c = 201
To solve this system, we can use the substitution method. We can solve the first equation for "h" in terms of "c" and substitute it into the second equation:
h = 2c - 3
3(2c - 3) + 1.5c = 201
Simplifying the equation:
6c - 9 + 1.5c = 201
7.5c - 9 = 201
7.5c = 210
c = 210 / 7.5
c = 28
Now we can substitute the value of "c" back into the first equation to find the value of "h":
h = 2(28) - 3
h = 56 - 3
h = 53
Therefore, 53 hotdogs and 28 corndogs were sold at last night's football game.
