Benedict cycled to his bakery with 16 trays of eggs. There were 24 eggs in each tray. He fell on his way and broke 1/3 of the eggs. He sold 5/8 of the good eggs and put the remaining eggs equally into 12 small baskets. How many eggs did he put into each basket?

PCGeorge Feb 28, 2022

#1**+1 **

There are 16*24 or 384 eggs.

1/3 of them (128 eggs) break. You are left with 384-128 or 256 eggs.

5/8 are sold, 3/8 remain. 3/8*256 is 96.

Lastly, split the 96 remaining eggs into 12 baskets. 96 ÷ 12 = 8.

The answer is 8

Guest Feb 28, 2022

#3**+1 **

16 trays with 24 eggs in each tray

total 16 * 24 eggs.

he fell and broke 1/3 of eggs.

broken eggs = 1/3 * 16 * 24

good eggs = 2/3 * 16 * 24

he sold 5/8 of good eggs.

sold = 5/8 * 2/3 * 16 * 24

remaining = 3/8 * 2/3 * 16 * 24

he put remaining equally in 12 basket

in one basket he put

= 1/~~12~~ * ~~3~~/~~8~~ * 2/~~3~~ * ~~16~~^{2} * ~~24~~^{2}

= 2 * 2 * 2

= 8 eggs in one basket

Slimesewer Mar 2, 2022