A ratio of 2:1 means that there are 2 home fans for every one visiting fan. So, of every 3 fans, 2 are home fans and \( \frac{2}{3} \) of every fan in the stadium is a home fan:

34,000 fans x \( \frac{2}{3} \) = \( \frac{68000}{3} \) = 22,667 fans.

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 100 meters to kilometers, divide the distance by 1000 to get 0.1km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.1km + 40.1km + 12.6km
total distance = 52.8km

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

vans = \( \frac{72}{14} \) = 5\(\frac{1}{7}\)

So, it will take 5 full vans and one partially full van to transport the entire team making a total of 6 vans.

The amount of flour you need is (2 - 1\(\frac{1}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{16}{8} \) - \( \frac{10}{8} \)) cups
\( \frac{6}{8} \) cups
\(\frac{3}{4}\) cups

By buying two shirts, Frank will save $19 x \( \frac{5}{100} \) = \( \frac{$19 x 5}{100} \) = \( \frac{$95}{100} \) = $0.95 on the second shirt.

So, his total cost will be
$19.00 + ($19.00 - $0.95)
$19.00 + $18.05
$37.05