a small fruit basket contains the fruit shown. A large basket has the same ratio of fruits as the small basket. If the large basket has 42 total pieces of fruit, how many are pears?

Since we have the following ratio for the fruits
6:5:3, for apples, oranges, and pears for a total of 14 fruits.
We will have that the number of fruits when total os 42, is the following:
So, the number of apples will be:
[tex]A=\frac{42\cdot6}{14}\Rightarrow A=18[/tex]The number of Oranges will be:
[tex]O=\frac{42\cdot5}{14}\Rightarrow O=15[/tex]And the number of pears will be:
[tex]P=\frac{42\cdot3}{14}\Rightarrow P=9[/tex]And we corroborate by adding the number of fruits and that gives solution 42.
So in the number of pears is of 9 units.