If 39.95\% of 265 plus 35.2\% of 178 equals 50\% of a number plus that number percent of 80, find the number.

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**Solution:**

1. Write the equation given in the problem:

$$39.95\% 	imes 265 + 35.2\% 	imes 178 = 50\% 	imes x + \frac{x}{100} 	imes 80$$

2. Calculate the left side:

- $39.95\%$ of $265 = \frac{39.95}{100} 	imes 265 = 0.3995 	imes 265 = 105.8675$

- $35.2\%$ of $178 = \frac{35.2}{100} 	imes 178 = 0.352 	imes 178 = 62.656$

- Sum: $105.8675 + 62.656 = 168.5235 \approx 169$ (rounded for simplicity)

3. Simplify the right side:

$$50\% 	imes x + \frac{x}{100} 	imes 80 = \frac{50}{100}x + \frac{80}{100}x = 0.5x + 0.8x = 1.3x$$

4. Equate both sides:

$$169 = 1.3x$$

5. Solve for $x$:

$$x = \frac{169}{1.3} = 130$$

**Answer:** $130$

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