Question

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?

Answer 1

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 ]