1. **State the problem:** We are given the system: $$x + y + z = 100$$ $$\frac{x}{x+y+z} = 25\%$$ $$\frac{x}{y} = 42.86\%$$ 2. **Interpret the percentages:** - From the second equation, since $x/(x+y+z) = 25\%$, and $x+y+z=100$, it means: $$\frac{x}{100} = 0.25 \implies x = 25$$ 3. **Use the ratio $x/y = 42.86\%$:** This means: $$\frac{x}{y} = 0.4286 \implies y = \frac{x}{0.4286}$$ Substitute $x=25$: $$y = \frac{25}{0.4286} \approx 58.33$$ 4. **Find $z$ using the sum equation:** $$x + y + z = 100 \implies 25 + 58.33 + z = 100$$ $$z = 100 - 25 - 58.33 = 16.67$$ 5. **Final answer:** $$x = 25, \quad y \approx 58.33, \quad z \approx 16.67$$