If 60 equally priced downloads cost x dollars, then how much do 9 downloads cost?

Options

A. `(20)/(3x)`
B. `(20x)/(3)`
C. `(60x)/(9)`
D. `(3x)/(20)`

Answer

To solve the problem step by step, we can follow these instructions:

1. **Understand the given information**: We know that the cost of 60 downloads is \( x \) dollars.

2. **Calculate the cost of one download**:
\[ \text{Cost of one download} = \frac{x}{60} \]

3. **Calculate the cost of 9 downloads**:
\[ \text{Cost of 9 downloads} = 9 \times \text{Cost of one download} = 9 \times \frac{x}{60} \]

4. **Simplify the expression**:
\[ \text{Cost of 9 downloads} = \frac{9x}{60} \]
Now, we can simplify \( \frac{9x}{60} \):
\[ \frac{9x}{60} = \frac{3x}{20} \quad (\text{dividing both numerator and denominator by 3}) \]

5. **Final result**:
The cost of 9 downloads is \( \frac{3x}{20} \) dollars.

6. **Identify the correct option**:
According to the options given, the correct answer is option (d) \( \frac{3x}{20} \).