Question

Solve the following questions.david has a two-fifths interest in a partnership. he sold five-sixths of her interest for $3000.

a) what was the total amount of david’s interest before selling?
b) what is the value of the partnership?

Answer 1

David's total interest before selling was $9000 and the value of the partnership is also $9000.

Step-by-step explanation:

Let's solve the given problem step-by-step:

a) David sold five-sixths of his two-fifths interest for $3000. This means he sold 5/6 * 2/5 = 1/3 of his total interest. We can set up the equation:

1/3 * Total Interest = $3000

Multiplying both sides by 3 gives us:

Total Interest = $9000

b) The value of the partnership can be calculated by dividing the selling price by the fraction of David's interest that he sold. The fraction of David's interest that he sold is 5/6 of 2/5, which simplifies to 1/3. So the value of the partnership is:

Value of Partnership = $3000 / (1/3) = $9000