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 combined. 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?

Question

Sophie Peters

Mathematics

10 May, 00:24

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 combined. 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?

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Answers (1)

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Kc · Answer 1

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 ]