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Answer to Q6
If 32° Fahrenheit equals 0° Celsius and 212° Fahrenheit equals 100° Celsius. At what temperature will Fahrenheit and Celsius be the same?
If,
32°F = 0°C [eqn i]
212°F = 100°C [eqn ii]
When will x°F = x°C [eqn iii]
From eqns i, ii, and iii above, we can say
(212 - 32) ÷ (212 - x) = (100 - 0) ÷ (100 - x)
180 ÷ (212 - x) = 100 ÷ (100 - x) [eqn iv]
Cross multiplying eqn iv
100(212 - x) = 180(100 - x)
21,200 - 100x = 18,000 - 180x [eqn v]
Collecting like terms of eqn v
-100x + 180x = 18,000 - 21,200
80x = -3,200 [eqn vi]
Dividing eqn vi through by 80
x = -3,200 ÷ 80 = -40
Answer: -40
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