Latoya scored 76% on the test meaning she earned 76% of the possible points on the test. There were 270 possible points on the test so she earned 270 x 0.76 = 204 points. Each question is worth 3 points so she got \( \frac{204}{3} \) = 68 questions right.

If a single cook can bake 3 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 3 x 4 = 12 large cakes during that time. 28 large cakes are needed for the party so \( \frac{28}{12} \) = 2\(\frac{1}{3}\) 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 4 hours, a single cook can bake 16 x 4 = 64 small cakes during that time. 450 small cakes are needed for the party so \( \frac{450}{64} \) = 7\(\frac{1}{32}\) 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 3 + 8 = 11 cooks.

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{36}{12} \) = 3

If the tiger has consumed 120 pounds of food in 8 days that's \( \frac{120}{8} \) = 15 pounds of food per day. The tiger needs to consume 180 - 120 = 60 more pounds of food to reach 180 pounds total. At 15 pounds of food per day that's \( \frac{60}{15} \) = 4 more days.

The equation for this sequence is:

a_n = a_n-1 + 4(n - 1)

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 4(6 - 1)
a₆ = 41 + 4(5)
a₆ = 61