If 40% of the town's 37,000 voters cast ballots the number of votes cast is:

(\( \frac{40}{100} \)) x 37,000 = \( \frac{1,480,000}{100} \) = 14,800

The mayor got 62% of the votes cast which is:

(\( \frac{62}{100} \)) x 14,800 = \( \frac{917,600}{100} \) = 9,176 votes.

The amount of flour you need is (3\(\frac{5}{8}\) - 1\(\frac{1}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{29}{8} \) - \( \frac{9}{8} \)) cups
\( \frac{20}{8} \) cups
2\(\frac{1}{2}\) cups

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{9 + 3 + 7 + 5}{4} \) = \( \frac{24}{4} \) = 6

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 12 are [12, 24, 36, 48, 60, 72, 84, 96]. The first few multiples they share are [24, 48, 72, 96] making 24 the smallest multiple 8 and 12 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{3 x 3}{8 x 3} \) - \( \frac{7 x 2}{12 x 2} \)

\( \frac{9}{24} \) - \( \frac{14}{24} \)

Now, because the fractions share a common denominator, you can subtract them:

\( \frac{9 - 14}{24} \) = \( \frac{-5}{24} \) = -\(\frac{5}{24}\)

Christine scored 93% on the test meaning she earned 93% of the possible points on the test. There were 120 possible points on the test so she earned 120 x 0.93 = 111 points. Each question is worth 3 points so she got \( \frac{111}{3} \) = 37 questions right.