Question

Sandy's orchard has only apple trees and pear trees and she is wanting to add some avocado trees. Currently, 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, making the ratio of avocado trees to apple trees be ___ to ___ .

Answer 1

let's start with avocados and pears only

if there's a 2:5 avocado to pear ratio, start by calculating the number of pear trees per avocado trees

as a hint, you can also write this as a fractional proportion where
(2 avocado trees / 5 pear trees) = (18 avocado trees)/(x pear trees)

then you want to set up a proportion for pear trees to apple trees. you are given 4:3 apple to pear ratio, so you can set up

(4 apple trees / 3 pear trees) = (y apple trees)/(x pear trees) using the x value from the previous part to find the new y value

since the final ratio asks for avocado to apple trees, the final ratio should be 18:y where y is calculated from the previous ratio