bread rations

Question

This weekly 360g loaf is to be rationed. The amount of bread that adults and children get is in the ratio 2:1 Divide this baguette between Mr and Mrs Smith and their 4 children.
How many weeks would it take for each child to have eaten 1 lb of bread?

Answer 1

There are 2 adults, who each get 2 parts (for a total of 4 for the adults), and 4 children, who each get one part (for a total of 4 for the children).

 

So there are a total of 8 parts that the bread is apportioned into. 

 

So each part is 360 g / 8 = 45 g.  So each adult gets two parts, or 90 g, and each child gets one part, or 45 g.

 

There are 453.6 grams in a pound, so if each child gets 45 g per week, it will take 453.6 / 45 weeks = 10.07 weeks.  That means that after 10 weeks, each child would have had slightly less than a pound.  So after 11 weeks, they would have eaten 1 pound.