Question

Shelley compared the number of oak trees to the number of maple trees as part of a study about hardwood trees and a woodlot she counted 9 maple trees to every five trees. later in the year there was a bug problem and many trees died. new trees were planted to make sure there was the same number of trees as before the bug problem. didn't nail ratio of the number of maple trees to the number of oak trees is 3 to 11 after planting new trees, there where 132 oak trees. how many more maple trees were in the wood lot before the bug problem then after the bug problem? explain. please put it in the fifth grade standard way

Answer 1

There were 72 (108 - 36) more maple trees in the woodlot before the bug problem. There were 108 maple trees in the woodlot before the bug problem. There are 36 maple trees in the woodlot after the bug problem.

The following information is given in the question:

Ratio of maple trees to oak trees before bug problem = 9:5

Ratio of maple trees to oak trees after replanting = 3:11

Total number of oak trees after replanting =132

Total number of trees in the woodlot is the same before and after the bug problem.

Let the number of maple trees after replanting be 'x'

From the data above, we can find the number of maple trees after replanting as follows:

$\frac{3}{11} = \frac{x}{132}$

$\frac{(3*132)}{11} = {x}$

$x = 36$

So, number of maple trees after replanting in the woodlot are 36.

$Total number of trees in the woodlot = No. of maple trees + No. of oak trees.$

$Total number of trees in the woodlot = 168 (132 + 36)$

Let number of maple trees before bug problem be 'z'.

We can find the number of maple trees before bug problem as follows:

$\frac{9}{(9+5)} = \frac{z}{168}$

$\frac{9*168}{14} = z$

$z = 108$