To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

If 90% of the town's 50,000 voters cast ballots the number of votes cast is:

(\( \frac{90}{100} \)) x 50,000 = \( \frac{4,500,000}{100} \) = 45,000

The mayor got 87% of the votes cast which is:

(\( \frac{87}{100} \)) x 45,000 = \( \frac{3,915,000}{100} \) = 39,150 votes.

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

3 + (4 + 4) ÷ 5 x 3 - 2²
P: 3 + (8) ÷ 5 x 3 - 2²
E: 3 + 8 ÷ 5 x 3 - 4
MD: 3 + \( \frac{8}{5} \) x 3 - 4
MD: 3 + \( \frac{24}{5} \) - 4
AS: \( \frac{15}{5} \) + \( \frac{24}{5} \) - 4
AS: \( \frac{39}{5} \) - 4
AS: \( \frac{39 - 20}{5} \)
\( \frac{19}{5} \)
3\(\frac{4}{5}\)

A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:

46,000 fans x \( \frac{3}{4} \) = \( \frac{138000}{4} \) = 34,500 fans.

You have 18 out of the total of 200 raffle tickets sold so you have a (\( \frac{18}{200} \)) x 100 = \( \frac{18 \times 100}{200} \) = \( \frac{1800}{200} \) = 9% chance to win the raffle.