The average temperature of Monday,Tuesday,Wed | vedclass

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Question

(C) Let the temperatures of Monday,Tuesday,Wednesday,Thursday,and Friday be $M, T, W, Th,$ and $F$ respectively.Given,the average of $M, T, W, Th$ is

Vedclass · Accepted Answer

$75$

Vedclass · Answer

(C) Let the temperatures of Monday,Tuesday,Wednesday,Thursday,and Friday be $M, T, W, Th,$ and $F$ respectively.Given,the average of $M, T, W, Th$ is $60^{\circ}$.Sum of temperatures $(M + T + W + Th) = 60 	imes 4 = 240^{\circ}$.Given,the average of $T, W, Th, F$ is $63^{\circ}$.Sum of temperatures $(T + W + Th + F) = 63 	imes 4 = 252^{\circ}$.Subtracting the first equation from the second:$(T + W + Th + F) - (M + T + W + Th) = 252 - 240$$F - M = 12^{\circ}$.Given the ratio $M : F = 21 : 25$. Let $M = 21x$ and $F = 25x$.Substituting these into the difference equation:$25x - 21x = 12$$4x = 12$$x = 3$.Therefore,the temperature of Friday $F = 25 	imes 3 = 75^{\circ}$.

The average temperature of Monday,Tuesday,Wednesday and Thursday is $60^{\circ}$. The average temperature for Tuesday,Wednesday,Thursday and Friday is $63^{\circ}$. If the ratio of temperature for Monday and Friday is $21: 25,$ then what is the temperature of Friday? (in $^{\circ}$)

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