Answer:
13
Explanation:
Let x be the number of branches of a tree
Total number of trees=43
Total number of leaves=19,565
Number of leaves on one tree=35
Number of leaves on x branches of a tree=35 x
Total number of leaves on x branches on 43 trees=[tex]35x\times 43[/tex]
According to question
[tex]19565=43\times 35x[/tex]
[tex]19565=1505x[/tex]
[tex]x=\frac{19565}{1505}[/tex]
Using division property of equality
[tex]x=13[/tex]
Hence, the total number of branches of each tree=13