Answer:
Velma's share = 26.7%
Winnie's share = 33.3%
Zoe's share = 40%
Step-by-step explanation:
Let Velma's share be v.
Let Winnie's share be w.
Let Zoe's share be z.
Velma pays 25% more of Winnie's share
v = w + 25% of w = 125% of w = 1.25w
Zoe pays 50% more of Winnie's share
v = w + 50% of w = 150% of w = 1.5w
Total rent = w + 1.25w + 1.5w = 3.75w
Velma's share = [tex]\dfrac{w}{3.75w}\times100\% = 26.7\%[/tex]
Winnie's share = [tex]\dfrac{1.25w}{3.75w}\times100\% = 33.3\%[/tex]
Zoe's share = [tex]\dfrac{1.5w}{3.75w}\times100\% = 40\%[/tex]
The share of the rent of the each women are,
Velma share is, 33.34%
Winnie share is , 26.7%
Zoe share is , 40%
Since, Velma will pay 25% more of the rent than Winnie will.
Let, Winnie pay = 100
Then, Velma will pay = 125
Since, Zoe wants the biggest bedroom and agrees to pay 50% more than Winnie.
So, Zoe will pay = 150
Total rent = 100 + 125 +150 = 375
Velma share is, = 125/375 = 0.333=33.34%
Winnie share is, = 100/375 = 0.267 = 26.7%
Zoe share is, = 150/375 = 0.4 = 40 %
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