Question

To celebrate the end of the school year, Aiden's class went to Funland Amusement Park.Before lunch, Aiden took orders and payments from everyone in his class for either a corn dog or a hot dog. Corn dogs cost $1.50 each and hot dogs cost $2.25. Unfortunately, his order liskt blew away in a gust of wind, but he had the $52.50 he had collected from the 30 students in his class. How many corn dogs and how many hot dogs should be ordered

Answer 1

Aiden should order 20 corn dogs and 10 hot dogs.

Step-by-step explanation:

To find out how many corn dogs and hot dogs to order, we need to set up a system of equations using the given information. Let's use the variables c and h to represent the number of corn dogs and hot dogs, respectively. The total number of corn dogs and hot dogs ordered is 30, so we can write c + h = 30.

The cost of each corn dog is $1.50 and the cost of each hot dog is $2.25. Aiden collected a total of $52.50, so we can write 1.50c + 2.25h = 52.50.

Now we can solve this system of equations:

1. Use the first equation to express c in terms of h: c = 30 - h.
2. Substitute this expression for c in the second equation: 1.50(30 - h) + 2.25h = 52.50.
3. Expand and simplify the equation: 45 - 1.50h + 2.25h = 52.50.
4. Combine like terms: 0.75h = 7.50.
5. Divide both sides by 0.75 to solve for h: h = 10.
6. Plug this value of h back into the first equation to find c: c = 30 - 10 = 20.

Therefore, Aiden should order 20 corn dogs and 10 hot dogs.