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(a) (i) & (ii)
    Fraction of money A gets = 2/(2+3+5) = 2/10 = 0.2
   
    Total amount of money = (1/0.2)*$12.40 = $62
    C’s share = (5/10)*$62 = $31.00
 
(b)
  Length of longer part = [x/(x+y)]*p
  Length of shorter part = [y/(x+y)]*p
   
  Thus, difference in length,
    = [x/(x+y)]*p – [y/(x+y)]*p
    = [x/(x+y) – y/(x+y)]*p
    = [p(x- y)]/(x+y)
 
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post-20892

(a)

A : B : C = 2 : 3 : 5

A = $12.40

$12.40 / 2 = $6.20

C = $6.20 * 5 = $31 #

Total = $6.20 * (2 + 3 + 5) = $62 #

(b)

Big : Small = x : y

Difference = p / (x + y) * (x – y) = (x – y) p / (x + y) metres #

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