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Aleonysh [2.5K]
3 years ago
5

Alice has seven times the amount of pens that Maurice has. Paul has two-thirds of the amount of pens as Alice and Suzy have comb

ined. Dawn has a dozen more pens than Paul. Suzy has half the pens that Maurice has. If Suzy has 2 pens, how many does Dawn have?
Mathematics
1 answer:
zepelin [54]3 years ago
5 0

Answer:

Dawn has 32 pens.

Step-by-step explanation:

  • Let No. of pens Alice has = A
  • Let No. of pens Maurice has = M
  • Let no of pens Paul has = P
  • Let no. of pens Suzy has = S
  • Let no of pens Dawn has = D

Given :

  • A = 7M
  • P = 2/3 (A + S)  
  • D = P + 12
  • S = 1/2 M
  • If S = 2 {Given}
  • M = 4    [∵ S = 1/2 M → M = 2S = 2X(2) ]
  • A = 28  [ ∵ A = 7M → A = 7 x 4 ]
  • P = 20  [∵ P = 2/3 (A+S) → P = 2/3 (28 + 2) = 2/3 (30) ]
  • D = 32  [ ∵ D = P + 12 → D = 20 + 12 ]

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