A grocery store clerk put only packages of purple grapes and packages of green grapes on a shelf. The ratio of the number of packages of green grapes to the total number of packages on the shelf was 9 to 14. Which number could be the number of packages of purple grapes the clerk put on the shelf?

The answer is 5, 10, 15, 20 or any positive multiples of 5

Step-by-step explanation:

Since the ratio of green grapes to the total number of grapes is 9:14 and there are only purple and green grapes on the shelf. It implies the total number of purple grapes to overall grapes is 5:14.

Since this ratio is already at it's lowest form, it implies the possible number of purple grapes are 5, 10, 15, 20 or any positive multiple of 5.