Sandy's orchard has only 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 trees.


Sandy is planting 18 avocado trees, making the ratio of avocado trees be _ to _.


PLEASE HELP!

Verified Answer :

current ratio: 4 apple trees for every 3 pear trees.
wants: 2 avocado trees for every 5 pear trees in the orchard.
Sandy is planting 18 avocado trees

so 2 avocado trees for every 5 pear trees
=1 avocado trees for every 2.5 pear trees
therefore if we have 18 avocado trees
18 x 2.5 = 45 pear trees

4 apple trees for every 3 pear trees
4/3
= 1.333 apple trees for every 1 pear tree
therefore if we have 45 avocado trees
45 x 1.333 = 60 apple trees

therefore ratio of avocado to apple trees = 18 : 60
18 : 60
= 9 : 30
= 3 : 10