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Andrea, Dina, and Lindsay invested in a partnership in the ratio of 7:9:14, respectively.
Ten years later, their partnership was worth $1,800,000. Dina decided to move to
Europe and sold her part of the partnership to Andrea.
a. How much did Andrea pay Dina for her share of the partnership? Round to the
nearest dollar.
b. What percent of the business did Andrea own after she bought out Dina? Round to
the nearest tenth of a percent.
c. What was the new ratio of ownership once the business was owned by only Andrea
and Lindsay?
ina

Sagot :

MrRoyal

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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