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:

30,000 fans x \( \frac{2}{3} \) = \( \frac{60000}{3} \) = 20,000 fans.

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

3 + (3 + 4) ÷ 5 x 5 - 4²
P: 3 + (7) ÷ 5 x 5 - 4²
E: 3 + 7 ÷ 5 x 5 - 16
MD: 3 + \( \frac{7}{5} \) x 5 - 16
MD: 3 + \( \frac{35}{5} \) - 16
AS: \( \frac{15}{5} \) + \( \frac{35}{5} \) - 16
AS: \( \frac{50}{5} \) - 16
AS: \( \frac{50 - 80}{5} \)
\( \frac{-30}{5} \)
-6

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{3}{9} \) x \( \frac{4}{6} \) = \( \frac{3 x 4}{9 x 6} \) = \( \frac{12}{54} \) = \(\frac{2}{9}\)

If the tiger has consumed 24 pounds of food in 3 days that's \( \frac{24}{3} \) = 8 pounds of food per day. The tiger needs to consume 72 - 24 = 48 more pounds of food to reach 72 pounds total. At 8 pounds of food per day that's \( \frac{48}{8} \) = 6 more days.