1. **State the problem:** We have the following equations where each fruit symbolizes a variable: $$ \begin{cases} 🍇 + 🍊 = 24 \\ 🥑 - 🍋 = 🍇 + 🍊 \\ 🥑 + 🍋 = 16 \\ \end{cases} $$ We want to find the value of $$🍇 + 🍊 + 🥑$$. 2. **Define variables:** Let $$g = 🍇,\ o = 🍊,\ a = 🥑,\ l = 🍋$$ Rewrite the equations: $$ \begin{cases} g + o = 24 \\ a - l = g + o \\ a + l = 16 \end{cases} $$ 3. **From the first equation:** $$g + o = 24$$ 4. **From the second equation:** $$a - l = g + o = 24$$ 5. **Use the third equation:** $$a + l = 16$$ 6. **Add the second and third equations:** $$ (a - l) + (a + l) = 24 + 16 \implies 2a = 40 \implies a = 20$$ 7. **Find \(l\) using \(a + l = 16\):** $$20 + l = 16 \implies l = 16 - 20 = -4$$ (Note: Lemon has a negative value here.) 8. **Find \(g + o + a\):** $$g + o + a = 24 + 20 = 44$$ 9. **Friend's answer check:** Your friend said the answer is 32, but our calculation shows the answer is $$44$$. 10. **Conclusion:** Your friend is incorrect. The problem is the misunderstanding of the relations. The solution shows $$g + o + a = 44$$ clearly from the system.