Question

The average rainfall in a city during week in the monsoons was 32mm. The rainfall from Monday to Saturday was as follows.

Monday :10mm Tuesday:12mm Wednesday:9mm Thursday:20mm Friday:40mm Saturday:35mm.

What was the rainfall in the city on sSunday. ?

Answer 1

$$\begin{gathered} \mathrm{Rainfall}\mathrm{on}\mathrm{Monday}=10\mathrm{mm} \\ \mathrm{Rainfall}\mathrm{on}\mathrm{Tuesday}=12\mathrm{mm} \\ \mathrm{Rainfall}\mathrm{on}\mathrm{Wednesday}=9\mathrm{mm} \\ \mathrm{Rainfall}\mathrm{on}\mathrm{Thursday}=20\mathrm{mm} \\ \mathrm{Rainfall}\mathrm{on}\mathrm{Friday}=40\mathrm{mm} \\ \mathrm{Rainfall}\mathrm{on}\mathrm{Saturday}=35\mathrm{mm} \\ \mathrm{Rainfall}\mathrm{on}\mathrm{Sunday}=\mathrm{x}\mathrm{mm} \\ \mathrm{Average}\mathrm{rainfall}=32\mathrm{mm} \\ \Rightarrow 32=\frac{10+12+9+20+40+35+x}{7} \\ \Rightarrow 224=126+x \\ \Rightarrow x\mathit{}=224-126 \\ \Rightarrow x\mathit{}=98 \\ \mathrm{So},\mathrm{rainfall}\mathrm{on}\mathrm{Sunday}=98\mathrm{mm} \end{gathered}$$