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Sagot :
The new ratio of ownership once the business was owned by only Andrea and Lindsay is 8 : 7
a. How much did Andrea pay Dina for her share of the partnership?
The ratio is given as:
Andrea : Dina : Lindsay = 7 : 9 : 14
The partnership worth is given as
Worth = $1,800,000
The amount received by Dina is:
Dina = Dina Ratio/Total Ratio * Worth
So, we have
Dina = 9/(7 + 9 + 14) * 1800000
Evaluate
Dina = 540000
Hence, Andrea pays Dina $540,000 for her share of the partnership
What percent of the business did Andrea own after she bought out Dina?
Initially, we have:
Andrea : Dina : Lindsay = 7 : 9 : 14
So, the new ratio is
Andrea : Lindsay = (7 + 9) : 14
Evaluate
Andrea : Lindsay = 16 : 14
As a percentage, we have
Andrea = 16/(16 + 14) * 100%
This gives
Andrea = 53.33%
Hence, Andrea owns 53.33% of the business after she bought out Dina
What was the new ratio of ownership once the business was owned by only Andrea and Lindsay?
In (b), we have:
Andrea : Lindsay = 16 : 14
Simplify
Andrea : Lindsay = 8 : 7
Hence, the new ratio of ownership once the business was owned by only Andrea and Lindsay is 8 : 7
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