“ at what temperature are the fahrenheit and celsius temperature scales the same?” Recall that fahrenheit and celsius temperatures are related by 5F-9C=160

Question

The following question was worth $32,000 on the game Who Wants to Be a Millionaire?: “ at what temperature are the fahrenheit and celsius temperature scales the same?” answer this question. Recall that fahrenheit and celsius temperatures are related by 5F-9C=160

Answer 1

Using the conversion of F to C

F = 9/5 C + 32

Setting F = C

F = 9/5F + 32

rearranging

-4/5 F = 32

Solving for F

F = -40 degrees

OR... 5F - 9C = 160 5F - 9F = 160 -4F = 160 F = -40 degrees