Orchard

One-eighth of the trees in the fruit plant in winter froze, and one-twelfth were damaged by disease and pests. Healthy trees remained 152. Is it enough to supply 35 trees to restore the original number of trees in the orchard?

Result

n =  192
z=

Yes

No

Step-by-step explanation:

$$\begin{gathered} \frac{1}{8}n+\frac{1}{12}n+152=n \\ 1/8\cdot n+1/12\cdot n+152=n \\ 19n=3648 \\ n=\frac{3648}{19}=192 \\ n=192 \end{gathered}$$

$$\begin{gathered} v=\frac{1}{8}\cdot n+\frac{1}{12}\cdot n=\frac{1}{8}\cdot 192+\frac{1}{12}\cdot 192=40 \\ v>35 \\ z=1 \end{gathered}$$

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