Question

Hotdogs and corn dogs for us all the baseball game. The number of hotdogs sold were three fewer than twice the number of corn dogs. Hotdogs cost three dollars and corn dogs cost $1.50 and 201 was collected. How many corn dogs and hot dogs were sold

Answer 1

Answer: the number of corn dogs sold was 28

the number of hot dogs sold was 53

Step-by-step 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