Elizabeth is a manager at a nursery and is in charge of displaying potted trees in rows. Elizabeth has citrus trees and palm trees. She wants to make rows of trees so that each row has the same number of trees and each tree is in a row. If the citrus trees and the palm trees must not be mixed in the rows, what is the largest number of trees that she can have in a row?
The largest number of trees that she can have in a row is 20. Step-by-step explanation: Elizabeth has 140 citrus trees and 180 palm trees.
what is the largest number of trees that she can have in a row?citrus trees = 150
palm trees = 180
As we have to find the greatest number of trees that Elizabeth can have in a row, we will find the GCF or greatest common factor.
150 = 2 x 3 x 5 x 5
180 = 2 x 2 x 3 x 3 x 5
Greatest common factor is = 2 x 3 x 5 = 30
Therefore, the largest number of trees that Eliza Beth can have in a row is 30.
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