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In a warehouse, 2/5 of the mobile phones are Brand A, 4/5 of the remainder are

Brand B and the rest are Brand C. After shipping out 20% of Brand A mobile

phones, 25% of Brand B mobile phones and 1/3 of Brand C mobile phones, there

were 228 mobile phones left.

(a) What fraction of the mobile phones was shipped out? Give your answer in its

      simpliest form.

(b) How many more Brand A mobile phones than Brand C mobile phones were 

      left in the warehouse?

 Dec 26, 2021
 #1
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Brand A = 2/5 of mobile 

Brand B = 4/5 of remaining

Brand C = Rest

After shipping

Brand A = 20% = 1/5

Brand B = 25% = 1/4

Brand C = 1/3

Left mobiles = 228

Let total phones are x

Brand A = 2/5x

Left = x - 2/5x = 3/5x

B = 4/5 * Left = 4/5 * 3/5x = 12/25x

C = x - (2/5x + 12/25x) = 3x/25

After shipping out

A = 1/5 * 2/5x = 2/25

B = 1/4 * 12/25x = 3/25x

C = 1/3 * 3x/25 = 1/25x

Total shipped = 2x/25 + 3/25x + 1/25x

Total shipped = 6/25x

Left = 228

x - 6/25x = 228

    19/25x = 228

      x = (22812 * 25)/ 19

      x = 300

a) fraction shipped out = Shipped/Total

= 6/25x/300 = 6/25 = 6/25 

b) A left in warehouse = 2/5x - 2/25x

                                    = 120 - 24

                                    = 96 
    C left in warehouse = 3x/25 - 1/25x

                                    = 2/25 * 300

                                    = 24

A are more than C = 96 - 24

                              = 72

 Dec 26, 2021
edited by apsiganocj  Dec 26, 2021

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