1. **Problem statement:** Priya and Khan share ping pong balls in the ratio 3 : 5. Khan has 45 ping pong balls. We need to find the number of ping pong balls Priya has and match the numbers 27, 72, 45, and 9 to their correct values. 2. **Formula and explanation:** When two quantities are in the ratio $a:b$, the total parts are $a+b$. Each part represents an equal share of the total. 3. **Calculate the value of one part:** $$\text{Total parts} = 3 + 5 = 8$$ $$\text{Value of one part} = \frac{\text{Khan's balls}}{5} = \frac{45}{5} = 9$$ 4. **Calculate Priya's balls:** $$\text{Priya's balls} = 3 \times 9 = 27$$ 5. **Match the numbers:** - 27 corresponds to Priya's ping pong balls. - 45 corresponds to Khan's ping pong balls. - 9 corresponds to the value of one part in the ratio. - 72 is the total number of ping pong balls (Priya's + Khan's): $$27 + 45 = 72$$ **Final answers:** Priya has 27 balls, Khan has 45 balls, one part equals 9 balls, and total balls are 72.