Subjects algebra

Fruit Puzzle 01B299

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1. **Stating the problem:** We are given $$\text{red apple} + \text{banana bunch} + \text{banana bunch} = 18$$ $$\text{banana bunch} - \text{coconut half} = 2$$ and we need to find $$\text{coconut half} + \text{red apple} + \text{banana bunch} = ?$$ 2. **Set variables:** Let $a$ = red apple, $b$ = banana bunch, and $c$ = coconut half. Then the equations become $$a + 2b = 18$$ $$b - c = 2$$ and we want $$c + a + b$$ 3. **Use the second equation to solve for $c$:** $$b - c = 2$$ $$-c = 2 - b$$ $$c = b - 2$$ 4. **Use the first equation to solve for $a$:** $$a + 2b = 18$$ $$a = 18 - 2b$$ 5. **Substitute into the expression we need:** $$c + a + b = (b - 2) + (18 - 2b) + b$$ Simplify step by step: $$= b - 2 + 18 - 2b + b$$ $$= 16$$ 6. **Final answer:** The value of the bottom-left expression is $$16$$.