Q:

An egg farm packages 264 total cartons of eggs each month. The Farm has 3 different sizes of cartons. The samalln cartons holds 8 eggs & 1/6 of the total cartons are small. The medium carton holds 12 eggs & 2/3 of the total cartons are medium. The large carton holds 18 eggs & the rest of the total cartons are large. Determine how many of each size carton is needed each month. Then determine how many eggs are needed to fill the 264 cartons. Answer solve explain & show your work

Accepted Solution

A:
1/6 * 264 = 44 small cartons
2/3 * 264 = 174 medium cartons

1/6 + 2/3 = 5/6, so there is 1/6 left for the large cartons , since the fractions
must add up to 1

1/6 * 264 = 44 large cartons

44*8 + 174*12 + 44*18 = 3232 eggs are needed to fill the 264 cartons