Answer:
[tex]\frac{13}{24}[/tex] of the plants for sale are either flowers or bushes.
Step-by-step explanation:
After a careful reading, we conclude that the key part of the statement is: What fraction of the plants for sale are either flowers or bushes? Inside that question, we find the logical operator or, which is equivalent to a sum in algebraic language.
Let be [tex]x[/tex] and [tex]y[/tex] the fractions of flowers and bushes to be sold at the local nursery. Then, question above is translated into the following expression:
[tex]z = x+y[/tex] (Eq. 1)
Where [tex]z[/tex] is the fraction of plants for sale that are either flowers or bushes, dimensionless.
If we know that [tex]x = \frac{5}{12}[/tex] and [tex]y = \frac{1}{8}[/tex], then the fraction of plants for sale that are either flowers or bushes is:
[tex]z = \frac{5}{12}+\frac{1}{8}[/tex]
[tex]z = \frac{40+12}{96}[/tex]
[tex]z = \frac{52}{96}[/tex]
[tex]z = \frac{26}{48}[/tex]
[tex]z = \frac{13}{24}[/tex]
[tex]\frac{13}{24}[/tex] of the plants for sale are either flowers or bushes.
