If P:Q= 8:15 and Q:R= 5:2, then find P:Q:R is equal to:

Options

A. a. 8:15:6
B. b. 15:6:8
C. c. 8:15:10
D. d. 10:15:8

Answer

To solve the problem of finding the ratio P:Q:R given the ratios P:Q = 8:15 and Q:R = 5:2, we can follow these steps:

### Step-by-Step Solution:

1. **Write down the given ratios**:
- We have P:Q = 8:15
- We have Q:R = 5:2

2. **Identify the common term (Q)**:
- The common term in both ratios is Q. We need to make the value of Q the same in both ratios to combine them.

3. **Adjust the Q value in the second ratio**:
- In the first ratio, Q = 15.
- In the second ratio, Q = 5. To make Q the same in both ratios, we will convert Q from 5 to 15.
- To do this, we multiply both parts of the second ratio (Q:R) by 3:
- Q:R = 5:2 becomes (5 * 3):(2 * 3) = 15:6.

4. **Now we have both ratios with the same Q value**:
- P:Q = 8:15
- Q:R = 15:6

5. **Combine the ratios**:
- Now we can write the combined ratio as:
- P:Q:R = 8:15:6

6. **Final Answer**:
- Therefore, the ratio P:Q:R is equal to 8:15:6.