Mrs. Jones owns 4/7 of the stock in a small business and Mrs.Brown owns the rest. Mrs. smith agrees to give $21,000 in exchange for 1/3 of the stock. The $21,000is to be divided between Mrs. jones and Mrs. Brown so that all three will now have equal share of stock. How much of the $21,000 should Mrs. Jones receive?

done by Steve on Saturday

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problem.add 2/4 and 1/8

To solve this problem, we need to find out the total value of the stock before and after Mrs. Smith's investment, and then calculate how much of the $21,000 each person will receive.

Let's break down the problem step by step:

1. Initial Ownership:
- Mrs. Jones owns 4/7 of the stock.
- Mrs. Brown owns the remaining stock, which is 3/7 (since the total must add up to 1 or 7/7).

2. Mrs. Smith's Investment:
- Mrs. Smith agrees to give $21,000 in exchange for 1/3 of the stock.
- Now, the total value of Mrs. Smith's investment is $21,000.
- Mrs. Smith's new ownership share is 1/3.

3. Total Stock Value After Mrs. Smith's Investment:
- Before Mrs. Smith's investment, Mrs. Jones owns 4/7 of the stock, and Mrs. Brown owns the remaining 3/7.
- After Mrs. Smith's investment, we need to divide the stock equally among all three owners.
- So, each person's new ownership share should be 1/3 (which is Mrs. Smith's new share) plus their initial share.

4. Calculating the New Ownership Shares:
- Let's denote the total stock value before Mrs. Smith's investment as V.
- Mrs. Jones owns 4/7 of V initially, so her new ownership is (4/7 + 1/3) of V.
- Mrs. Brown owns 3/7 of V initially, so her new ownership is (3/7 + 1/3) of V.
- Since we are dividing the stock equally among Mrs. Jones, Mrs. Brown, and Mrs. Smith, their new ownership shares should add up to 1 or 7/7.

5. Calculating the Amount Received by Mrs. Jones:
- We know that the total investment amount is $21,000, and we need to find out how much of it Mrs. Jones will receive.
- Since the total investment is divided equally, we can determine Mrs. Jones' share by multiplying her new ownership share by the total investment amount.

To calculate the values precisely, we need the actual initial stock value, V. Once we have that information, we can follow the steps above to determine how much Mrs. Jones should receive from the $21,000.