Average rainfall on Monday,Tuesday,Wednesday | vedclass

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Question

(B) Let $M, T, W, Th, F$ represent the rainfall on Monday,Tuesday,Wednesday,Thursday,and Friday respectively.From the given data:$M + T + W + Th = 4 \

Vedclass · Accepted Answer

$1600, 1680$

Vedclass · Answer

(B) Let $M, T, W, Th, F$ represent the rainfall on Monday,Tuesday,Wednesday,Thursday,and Friday respectively.From the given data:$M + T + W + Th = 4 	imes 420.5 = 1682\, cm$ ....$(1)$$T + W + Th + F = 4 	imes 440.5 = 1762\, cm$ ....$(2)$Subtracting equation $(1)$ from equation $(2)$:$(T + W + Th + F) - (M + T + W + Th) = 1762 - 1682$$F - M = 80\, cm$Given the ratio of rainfall on Monday and Friday is $20:21$,let $M = 20x$ and $F = 21x$.Substituting these into the difference equation:$21x - 20x = 80$$x = 80$Therefore,rainfall on Monday $= 20 	imes 80 = 1600\, cm$.Rainfall on Friday $= 21 	imes 80 = 1680\, cm$.

Average rainfall on Monday,Tuesday,Wednesday and Thursday is $420.5\, cm$ and average on Tuesday,Wednesday,Thursday and Friday is $440.5\, cm$. If the ratio of rainfall for Monday and Friday is $20:21$,find the rainfall in $cm$ on Monday and Friday.

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