The temperature at which the fahrenheit reading triple that of celsius scale is

Options

A. `80°C`
B. `80°F`
C. `80/3°F`
D. 273K

Answer

To find the temperature at which the Fahrenheit reading is triple that of the Celsius scale, we can follow these steps:

### Step 1: Understand the relationship between Fahrenheit and Celsius
The formula to convert Celsius (C) to Fahrenheit (F) is given by:
\[ F = \frac{9}{5}C + 32 \]

### Step 2: Set up the equation based on the problem statement
According to the problem, we want to find the temperature where the Fahrenheit reading is three times the Celsius reading:
\[ F = 3C \]

### Step 3: Substitute the expression for Fahrenheit into the equation
Now we can substitute the expression for \( F \) from the conversion formula into our equation:
\[ 3C = \frac{9}{5}C + 32 \]

### Step 4: Solve for C
To solve for \( C \), we first eliminate the fraction by multiplying the entire equation by 5:
\[ 15C = 9C + 160 \]

Now, we can isolate \( C \):
\[ 15C - 9C = 160 \]
\[ 6C = 160 \]
\[ C = \frac{160}{6} \]
\[ C = \frac{80}{3} \]

### Step 5: Calculate the corresponding Fahrenheit temperature
Now that we have \( C \), we can find the corresponding Fahrenheit temperature using the conversion formula:
\[ F = 3C = 3 \times \frac{80}{3} = 80 \]

### Conclusion
The temperature at which the Fahrenheit reading is triple that of the Celsius scale is:
- **Celsius**: \( \frac{80}{3} \) degrees
- **Fahrenheit**: 80 degrees