Fred's science class is going to the Ancient Dig adventure park. His teacher got the school group package, which costs $308. The package covers the entrance fee for the group, a private dig site, and an activity guide. Fred's teacher upgraded the package to include a fossil tool kit for each of the 22 students, bringing the total to $440.

Question

1)) Which equation can you use to find k, the cost of each tool kit?
22k + 308 = 440
308(k + 22) = 440
22(k + 308) = 440
308k + 22 = 440

Answer 1

To find the cost of each tool kit, let's analyze the situation.

The initial group package cost is $308, and after upgrading to include the fossil tool kits for 22 students, the total cost is $440. The additional cost for the tool kits can be calculated by subtracting the initial package cost from the total cost after the upgrade.

So, we have: Total cost after upgrade: $440 Initial package cost: $308

The cost for the tool kits alone would be: 440 - 308 = $132

Since there are 22 students and the cost of each tool kit is represented by \( k \), we can set up the equation: \[ 22k = 132 \]

Another way to express it to solve for \( k \) would be: \[ 22k + 308 = 440 \]

Thus, among the given options, the correct equation to use is: 22k + 308 = 440