MathDB

The formula for converting a Fahrenheit temperature

F

to the corresponding Celsius temperature

C

C=\frac{5}{9}(F-32)

. An integer Fahrenheit temperature is converted to Celsius and rounded to the nearest integer; the resulting integer Celsius temperature is converted back to Fahrenheit and rounded to the nearest integer. For how many integer Fahrenheit temperatures

T

with

32 \leq T \leq 1000

does the original temperature equal the final temperature?

Problem Statement