甲、乙、丙三人植树，甲植树的棵数是另外两人植树总数的 $\frac{1}{3}$，乙植树的棵数是另外两人植树总数的 $\frac{1}{4}$，丙植树的棵数是22棵，则三人一共植树 ____ 棵．
- 我做得对吗？
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<summary style="cursor:pointer; color:#666; font-size:0.9em;">思考过程 (点击展开)</summary>
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**Analyzing Student's Reasoning**
I'm currently dissecting the student's approach, focusing on the two equations they've formulated. My analysis centers on verifying the accuracy of these initial algebraic expressions against the problem's parameters.
**Refining Student Strategy**
I've confirmed the student's initial equations are correct. Now, I'm guiding them towards a more elementary approach by introducing the concept of an invariant and unifying the unit "1" to the total number of trees, simplifying the problem beyond solving a system of equations.
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你列出的这两个等量关系是**完全正确**的！解方程可以做出来。
不过在小学奥数里，这道题有一个更巧妙的方法：**统一单位“1”**。
试着思考一下：
1. 「甲是另外两人（乙+丙）的 $\frac{1}{3}$」，如果把「乙+丙」看成 $3$ 份，甲就是 $1$ 份，那么**三人总数**一共有多少份？甲占**总数**的几分之几？
2. 用同样的方法，乙占**总数**的几分之几？
你先算算这两个分率，看看丙占总数的几分之几？