Question

Hotdogs and corndogs were sold at last night's football game. Use the information below to determine how many corndogs were sold. The number of hotdogs sold was three fewer than twice the number of corndogs. Write a mathematical sentence that relates the number of hotdogs and corndogs. Let h represent the number of hotdogs and c represent the number of corndogs. h = 2c - 3. This is not a decimal or integer value. A hotdog costs $3 and a corndog costs $1.50. If $186 was collected, write a mathematical sentence to represent this information. Equation: c. How many corndogs were sold? Number of corndogs =?

Answer 1

To determine how many corndogs were sold at last night's football game, we can use the equation h = 2c - 3, where h represents the number of hotdogs and c represents the number of corndogs. By substituting the cost of hotdogs and corndogs into the equation, we can solve for c. The number of corndogs sold is 26.

Step-by-step explanation:

To determine how many corndogs were sold at last night's football game, we can use the given information and the equation h = 2c - 3, where h represents the number of hotdogs and c represents the number of corndogs. From the equation, we know that the number of hotdogs sold is three fewer than twice the number of corndogs. To find the number of corndogs, we can substitute h with the given value and solve for c:

h = 2c - 3

186 = 3h + 1.5c

Substituting the cost of hotdogs and corndogs, we get:

186 = 3(2c - 3) + 1.5c

186 = 6c - 9 + 1.5c

Combining like terms, we have:

186 = 7.5c - 9

195 = 7.5c

Dividing both sides by 7.5, we find:

c = 26

Therefore, 26 corndogs were sold at last night's football game.