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Let's break down the problem step by step:

1. You invested a total of $11,000 in three funds: SHPIX, RYURX, and RYCWX.
2. You know the losses (4%, 3%, and 6% respectively for SHPIX, RYURX, and RYCWX).
3. The year-to-date loss from the first two funds (SHPIX and RYURX) amounted to $290.

Let:
- $ x $ be the amount invested in SHPIX,
- $ y $ be the amount invested in RYURX,
- $ z $ be the amount invested in RYCWX.

The conditions are as follows:
- $ x + y + z = 11,000 $ (total investment),
- $ 0.04x + 0.03y = 290 $ (loss from SHPIX and RYURX),
- $ y = z $ (equal amount invested in RYURX and RYCWX).

I'll solve these equations to find the investments in each fund.The investments in each fund are:

- SHPIX: $5,000
- RYURX: $3,000
- RYCWX: $3,000

Would you like further details or explanations on this solution?

Here are some related questions:
1. What would happen to the losses if the year-to-date losses change?
2. How would the investment change if the total amount was different?
3. What is the impact of a higher loss percentage in one of the funds?
4. How can we calculate the total loss if all three funds had different loss percentages?
5. How would the problem change if you invested different amounts in RYURX and RYCWX?

**Tip:** Understanding how to set up systems of equations is a valuable skill for solving investment allocation problems like this.

You invested a total of $11,000 in three funds (SHPX, RYURX, and RYCWX) at the beginning of 2015, with an equal amount in RYURX and RYCWX. The year-to-date loss from the first two funds amounted to $290. How much did you invest in each of the three funds?

Learn how to solve an investment allocation problem involving three inverse mutual funds with a total investment of $11,000 and specific year-to-date losses. This problem includes solving a system of linear equations to find the amount invested in each fund. Suitable for Grades 8-10.

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