A grocery store manager uses 1/2 crate of apples for every 3/4 crate if oranges in a fruit display. How many crates of oranges will she need if she uses 2 1/2 crates of apples?

15/4

Step-by-step explanation:

This is a proportion question

It says 1/2 crates of apple are used for every 3/4 crates of oranges

For 5/2 crates of apple, x crates of oranges will be needed.

To get x, we simply multiply 1/2 by x and equate it to 3/4 multiplied by 5/2

This means: 0.5x = 0.75 * 2.5

x = (0.75 * 2.5) : 0.5 = 3.75

Hence for 5/2 crates for apple, she will need 15/4 crates of oranges.