Question

When will be the temperature on the Fahrenheit scale be five times the reading on the Celsius scale

Answer 1

Let fahrenheit be 5a and Celsius be a.

F = (9/5 x a) + 32

5a = 9a/5 + 32

5a/1 - 9a/5 = 32

(5a x 5)/(1 x 5) - 9a/5 = 32

(25a - 9a)/5 = 32

16a = 32 x 5

16a = 160

a = 160/16

a = 10

C = 10°C

F = 10 x 5 = 50°F

F =

Answer 2

$\red{HEY\:BUDDY!!}$

HERE'S THE ANSWER...

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♠️ The relation b/w Fahrenheit scale and celsius scale

$\bold{=>\:F \:=\: ( 9/5 )C + 32 }$

▶️ Where , F is reading in Fahrenheit and C is reading in celsius

⏺️ A.T.Q.

♠️Fahrenheit scale be five times the reading on the Celsius scale

$\texttt{=>\: F\: = \:5 C}$

⏺️ Putting the value of F

$\texttt{=>\:F\:=\: ( 9/5 )C + 32 }$

$\texttt{=>\:5 C\:=\:( 9 C/5 ) + 32 }$

$\texttt{=>\:5 C\:=\:( 9 C + 160)/5 }$

$\texttt{=> \:5(5)C\:=\: ( 9 C/5 ) + 160 }$

$\texttt{=>\:25 C \:=\: 9 C + 160 }$

$\texttt{=>\:25 C - 9 C\:=\: 160 }$

$\texttt{=>\:16 C \:=\: 160 }$

=> $\boxed{\:C \:=\: 10 }$

♠️ The temperature should be 10° C or 50 F

HOPE HELPED..

$\red{JAI \:HIND..}$

PEACE