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Aleonysh [2.5K]

2 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?

1 answer:

zepelin [54]2 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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