Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{34}{16} \) = 2\(\frac{1}{8}\)

So, it will take 2 full vans and one partially full van to transport the entire team making a total of 3 vans.

There are 2 2-passenger taxis available so that's 2 x 2 = 4 total seats. There are 8 people needing transportation leaving 8 - 4 = 4 who will have to find other transportation.

To fill a 10 gallon tank exactly halfway you'll need 5 gallons of fuel. Each fuel can holds 1 gallons so:

cans = \( \frac{5 \text{ gallons}}{1 \text{ gallons}} \) = 5

To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 300 meters to kilometers, divide the distance by 1000 to get 0.3km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.3km + 40.6km + 5.4km
total distance = 46.3km

If a single cook can bake 3 large cakes per hour and the kitchen is available for 2 hours, a single cook can bake 3 x 2 = 6 large cakes during that time. 39 large cakes are needed for the party so \( \frac{39}{6} \) = 6\(\frac{1}{2}\) cooks are needed to bake the required number of large cakes.

If a single cook can bake 15 small cakes per hour and the kitchen is available for 2 hours, a single cook can bake 15 x 2 = 30 small cakes during that time. 410 small cakes are needed for the party so \( \frac{410}{30} \) = 13\(\frac{2}{3}\) cooks are needed to bake the required number of small cakes.

Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 7 + 14 = 21 cooks.