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Question

Part b) clement has some white and blue containers . 
the ratio of total number of chips in his white container to the total number of chips in his blue container is 3: 2

Express the number of blue containers as a a fraction of total number of his container. 
need assistance in part a and b.

thank you 

Source: Nanyang Primary

Answer

(a) Gwen has a total of white and green containers. If Gwen has u white containers, he has ( 10 – u) green containers. 

The number of clips in Gwen’s white containers are 30u and Gwen’s green containers are 60(1 – u).

the difference is 

30u – 60 (10 – u) = 30u – 600 + 60u = 90u – 600

Obviously this number is the least when u = 7 , the difference is 30.

Gwen has 7 white containers and 3 green containers for minimum difference in the clips.

(b) If Clement has n blue containers, he has 50n clips in blue containers. And he has   50n*3/2= 75n clips in white containers. Number of white containers = 75n/30 = 5n/2 = 2.5n

Clement’s total containers = n + 2.5n= 3.5n

Blue containers/ total containers = n/(3.5n)= 2/7

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