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

i saw this and the answer is 3:10

Explanation:

Answer 2

The ratio is 3:10.

Explanation:

Sandy's orchard has only apple trees and pear trees.

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, when we have 2 avocado trees for every 5 pear trees

Then we have 1 avocado trees for every 2.5 pear trees.

Therefore, if we have 18 avocado trees then we will have
`18*2.5` = 45 pear trees

Also, we have 4 apple trees for every 3 pear trees.

So, for 1 pear tree we have
`(4)/(3)=1.33` apple trees.

Lastly, if we have 45 avocado trees then we will have
`45*1.33=59.85` or rounding to 60 apple trees.

Hence, the ratio of avocado to apple trees =
`(18)/(60)` =
`(3)/(10)`

The ratio is 3:10.