If the tiger has consumed 100 pounds of food in 10 days that's \( \frac{100}{10} \) = 10 pounds of food per day. The tiger needs to consume 140 - 100 = 40 more pounds of food to reach 140 pounds total. At 10 pounds of food per day that's \( \frac{40}{10} \) = 4 more days.

If a single cook can bake 5 large cakes per hour and the kitchen is available for 2 hours, a single cook can bake 5 x 2 = 10 large cakes during that time. 40 large cakes are needed for the party so \( \frac{40}{10} \) = 4 cooks are needed to bake the required number of large cakes.

If a single cook can bake 16 small cakes per hour and the kitchen is available for 2 hours, a single cook can bake 16 x 2 = 32 small cakes during that time. 440 small cakes are needed for the party so \( \frac{440}{32} \) = 13\(\frac{3}{4}\) 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 4 + 14 = 18 cooks.

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.

The factors of 68 are [1, 2, 4, 17, 34, 68] and the factors of 68 are [1, 2, 4, 17, 34, 68]. They share 6 factors [1, 2, 4, 17, 34, 68] making 68 the greatest factor 68 and 68 have in common.

If 78% of the town's 50,000 voters cast ballots the number of votes cast is:

(\( \frac{78}{100} \)) x 50,000 = \( \frac{3,900,000}{100} \) = 39,000

The mayor got 85% of the votes cast which is:

(\( \frac{85}{100} \)) x 39,000 = \( \frac{3,315,000}{100} \) = 33,150 votes.