If `5/8 = (20)/p` , then value of p is

Options

A. 23
B. 2
C. 32
D. 16

Answer

To solve the equation \( \frac{5}{8} = \frac{20}{p} \), we will follow these steps:

### Step 1: Cross Multiply
We start by cross multiplying the fractions. This means we will multiply the numerator of one fraction by the denominator of the other fraction.

\[ 5 \cdot p = 20 \cdot 8 \]

### Step 2: Calculate \( 20 \cdot 8 \)
Now, we calculate the right-hand side of the equation:

\[ 20 \cdot 8 = 160 \]

So, we have:

\[ 5p = 160 \]

### Step 3: Solve for \( p \)
Next, we need to isolate \( p \) by dividing both sides of the equation by 5:

\[ p = \frac{160}{5} \]

### Step 4: Calculate \( \frac{160}{5} \)
Now, we perform the division:

\[ \frac{160}{5} = 32 \]

### Conclusion
Thus, the value of \( p \) is:

\[ p = 32 \]

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