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10 August, 17:27

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?

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  1. 10 August, 17:44
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    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.
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