Question

If there is 4 apple trees for every three pear trees but for every 2 avocado trees there is 5 pear trees she is planning to plant 18 avocado trees whats the ratio of avocado trees to apple trees?

Answer 1

Answer:

60

Step-by-step explanation:

You need to think of it as an equation system.

First of all, let's call A the apple trees, P the pear trees and V the avocado's trees.

As for every 3 pear trees we have 4 apple trees, it can be written as:

4A = 3P

Then, we can clear the pears dividing both sides by 3:

4A/3 = 3P/3

(4/3)A = P

This is, we have one pear tree for every 4/3 apple trees.

Then we go to the other relation. For every 5 pears trees there are two avocados trees:

2V = 5P

As we want the ratio of avocados to apples we can replace the pear trees by it's expression depending on A:

2V = 5 ((4/3)A)

2V = (20/3) A

Multiplying both sides by 9 we make appear our 18 avocados trees:

2V *9 =( 20/3) A * 9

18 V = 60 A

So, for 18 avocados trees we have 60 apple trees.