Answer: the number of corn dogs sold was 28
the number of hot dogs sold was 53
Explanation:
Let x represent the number of corn dogs that were sold.
Let y represent the number of hot dogs that were sold.
The number of hotdogs sold were three fewer than twice the number of corn dogs. It means that
y = 2x - 3
Hotdogs cost three dollars and corn dogs cost $1.50 and $201 was collected. It means that
1.5x + 3y = 201 - - - - - - - 1
Substituting y = 2x - 3 into equation , it becomes
1.5x + 3(2x - 3) = 201
1.5x + 6x - 9 = 201
1.5x + 6x = 201 + 9
7.5x = 210
x = 210/7.5 = 28
y = 2x - 3
y = 2×28 - 3 = 56 - 3
y = $53