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. 28 large cakes are needed for the party so \( \frac{28}{6} \) = 4\(\frac{2}{3}\) cooks are needed to bake the required number of large cakes.

If a single cook can bake 13 small cakes per hour and the kitchen is available for 2 hours, a single cook can bake 13 x 2 = 26 small cakes during that time. 300 small cakes are needed for the party so \( \frac{300}{26} \) = 11\(\frac{7}{13}\) 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 5 + 12 = 17 cooks.

If 36% of the town's 13,000 voters cast ballots the number of votes cast is:

(\( \frac{36}{100} \)) x 13,000 = \( \frac{468,000}{100} \) = 4,680

The mayor got 70% of the votes cast which is:

(\( \frac{70}{100} \)) x 4,680 = \( \frac{327,600}{100} \) = 3,276 votes.

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{49}{16}} \)
\( \frac{\sqrt{49}}{\sqrt{16}} \)
\( \frac{\sqrt{7^2}}{\sqrt{4^2}} \)
\( \frac{7}{4} \)
1\(\frac{3}{4}\)

There are 3 5-passenger taxis available so that's 3 x 5 = 15 total seats. There are 16 people needing transportation leaving 16 - 15 = 1 who will have to find other transportation.

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