Answer:
The ratio is 3:10.
Step-by-step explanation:
Sandy's orchard has only apple trees and pear trees.
There are 4 apple trees for every 3 pear trees.
She is wanting to plant enough avocado trees so that she has 2 avocado trees for every 5 pear trees in the orchard.
Sandy is planting 18 avocado trees, when we have 2 avocado trees for every 5 pear trees
Then we have 1 avocado trees for every 2.5 pear trees.
Therefore, if we have 18 avocado trees then we will have \(18\times2.5\) = 45 pear trees
Also, we have 4 apple trees for every 3 pear trees.
So, for 1 pear tree we have \(\frac{4}{3}=1.33\) apple trees.
Lastly, if we have 45 avocado trees then we will have \(45\times1.33=59.85\) or rounding to 60 apple trees.
Hence, the ratio of avocado to apple trees = \(\frac{18}{60}\) = \(\frac{3}{10}\)
The ratio is 3:10.
