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1 year ago

Andrea, Dina, and Lindsay invested in a partnership in the ratio of 7:9:14, respectively.

Mathematics

1 answer:

Scrat [10]1 year ago

7 0

The new ratio of ownership once the business was owned by only Andrea and Lindsay is 8 : 7

<h3>a. How much did Andrea pay Dina for her share of the partnership? </h3>

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

<h3>What percent of the business did Andrea own after she bought out Dina? </h3>

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

<h3>What was the new ratio of ownership once the business was owned by only Andrea and Lindsay?</h3>

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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