Apply simple linear proportions, including ordering fractions

By Anonymous -
 
I can apply the strategy to problem solving questions


Please complete these two problems. You will need to explain how you got the answer.

Question 1
In our household, there are twice as many cats as humans, with sixty legs in total.

How many cats are there to be fed?
A:12 (first I figgered out how many cat there were (15) then I used this information to figure out how many humans there were to equal half the cats.)



Question 2
Three men run a business together.
The proportion of the profit they each get at the end of the month is based on the proportion of the funds they have invested in the business.
The April profit is shared out so that All gets one third, Bob gets one half and Chuck gets one sixth.
In May, Des joins the group, investing half as much as Bob invested.
What share of the profit can Des expect to get?

A: des gets ¼ (because if he gets half of what bob has bob has ½ and I know that half of ½ is ¼.)

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