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

plz heeelllppp

Answer 2

lets do the eqns: very straightforward that way -

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

Answer 3

shortcut
4 apples : 3 pear and 2 avo : 5 pear
uniting factor = pear trees, so make them equal
4 apples x 5 : 3 pear x 5 and 2 avo x 3 : 5 pear x 3
= 20 apples : 15 pear and 6 avo : 15 pear
= 20 apples : 6 avo
= 10 apples : 3 avocado