sharon has some money in her pocket. her friend wendy and 1 1/2 as much as sharon. Another friend chelsea has 1 2/3 times as much money as wendy. Altogether they have $200. How much money does sharon have?

Let $ S $ be the amount of money Sharon has. 

According to the problem:

1. Wendy has $ 1.5S $ (or $ \frac{3}{2}S $).
2. Chelsea has $ \frac{5}{3} \times \frac{3}{2}S = \frac{5}{2}S $.

Now, we can set up the equation for their total money:

\[
S + \frac{3}{2}S + \frac{5}{2}S = 200
\]

Combining the terms:

\[
S + \frac{3}{2}S + \frac{5}{2}S = S + \frac{8}{2}S = S + 4S = 5S
\]

Thus, we have:

\[
5S = 200
\]

Now, solving for $ S $:

\[
S = \frac{200}{5} = 40
\]

So, Sharon has **$40**.

### Summary:
1. Sharon has $40.
2. Wendy has $ 1.5 \times 40 = 60 $.
3. Chelsea has $ \frac{5}{2} \times 40 = 100 $.

### Total:
- Sharon: $40
- Wendy: $60
- Chelsea: $100
- Total: $200

Would you like any further details or explanations? Here are some related questions to consider:

1. How much money does Wendy have?
2. How much money does Chelsea have?
3. If Sharon had $50 instead, how would the total change?
4. What percentage of the total does each friend have?
5. How would the amounts change if the total was $300 instead? 

**Tip:** When solving word problems, it can be helpful to define variables for each unknown quantity early in the process.

Discover how to calculate how much money Sharon has when her friends Wendy and Chelsea have amounts based on ratios of her money. This problem involves solving linear equations and understanding proportional relationships, with a total of $200 among them.

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