Answer:
The cost of one hot dog can't be determine from the given condition
Step-by-step explanation:
From the question,
Total cost of four hot dogs and three bags of candy is $14.37 and twelve hot dogs and nine bags of candy is $24.74.
So,
Let the number of hot dog be x
and the number of bags of candy be y.
According to question,
Equations formed by given statement are,
.................(1)
.................(2)
Here, these are the linear equation in two variables says x & y.
![c1=14.37](https://tex.z-dn.net/?f=c1%3D14.37)
![c1=24.74](https://tex.z-dn.net/?f=c1%3D24.74)
When ,
≠
=
gives Unique solution.
=
=
gives Infinite many solutions.
=
≠
gives No solution.
From Equation (1) & (2) we get ,
=
≠ ![\frac{14.37}{24.37}](https://tex.z-dn.net/?f=%5Cfrac%7B14.37%7D%7B24.37%7D)
This condition says that the given equation have no solution.
Hence the cost of one hot dog can't be determine from the given condition.