Question

2/3 of the baked goods in a bakery are pastries. 5/6 of the pastries are sweet. Gerry packs 1/5 of the sweet pastries equally into 3 boxes. What fraction of all the baked goods are in each box?

Answer 1

2 / 3 ∙ 5 / 6 = 2 ∙ 5 / 3 ∙ 6 = 10 / 18 = 2 ∙ 5 / 2 ∙ 9 = 5 / 9 of the pastries are sweet

1 / 5 of the sweet pastries = 1 / 5 ∙ 5 / 9 = 1 ∙ 5 / 5 ∙ 9 = 1 / 9

( 1 / 9 ) / 3 = 1 / 9 ∙ 3 = 1 / 27 of all the baked goods are in each box