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

vans = \( \frac{55}{7} \) = 7\(\frac{6}{7}\)

So, it will take 7 full vans and one partially full van to transport the entire team making a total of 8 vans.

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

2 + (3 + 4) ÷ 3 x 4 - 4²
P: 2 + (7) ÷ 3 x 4 - 4²
E: 2 + 7 ÷ 3 x 4 - 16
MD: 2 + \( \frac{7}{3} \) x 4 - 16
MD: 2 + \( \frac{28}{3} \) - 16
AS: \( \frac{6}{3} \) + \( \frac{28}{3} \) - 16
AS: \( \frac{34}{3} \) - 16
AS: \( \frac{34 - 48}{3} \)
\( \frac{-14}{3} \)
-4\(\frac{2}{3}\)

1

If a single cook can bake 5 large cakes per hour and the kitchen is available for 3 hours, a single cook can bake 5 x 3 = 15 large cakes during that time. 25 large cakes are needed for the party so \( \frac{25}{15} \) = 1\(\frac{2}{3}\) 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 3 hours, a single cook can bake 16 x 3 = 48 small cakes during that time. 280 small cakes are needed for the party so \( \frac{280}{48} \) = 5\(\frac{5}{6}\) 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 2 + 6 = 8 cooks.

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