Question

99 x (-28 ) + (-28)
pls solve
using distributive property
and step by step

Answer 1

Answer:

Step-by-step explanation:

Given:

10% of the voters did not cast their vote in an election between two candidates. 10% of the votes polled were found invalid. The successful candidate got 54% of the valid votes and won by a majority of 1620 votes.

To Find:-

The number of voters enrolled on the voters list was

Solution:-

\color{maroon} \rm \: Let \: the \: numer \:of \: votes \: enrolled \: be \: xLetthenumerofvotesenrolledbex

No. of voters cast their vote=90% of x

No. of votes polled valid=90% of (90% of x)

\begin{gathered} \rm \: Winner - 54\% \\ \rm \: Runner - 100 - 54 = 46\% \\ - - - - - - - - - - - - \\ \rm \: Difference = 54 - 16 = 8\%\end{gathered}Winner−54%Runner−100−54=46%−−−−−−−−−−−−Difference=54−16=8%

It is given that the winner won by the majority of 1620 votes. So, 8% of the votes enrolled (valid votes) is 1620 .So,

\begin{gathered} \therefore \: \rm 8\% \: of \{90\%(90\% \: of \: x) \} = 1620 \\ \looparrowright \rm \: \: \frac{8}{100} \times \frac{90}{100} \times \frac{90}{100} \times x = 1620 \\ \looparrowright \rm \:x = \cancel \frac{16200 \times 100 \times 100 \times 100}{8 \times 90 \times 90} \\ \looparrowright \rm \: \color{olive}x = 25000\end{gathered}∴8%of{90%(90%ofx)}=1620↬1008×10090×10090×x=1620↬x=8×90×9016200×100×100×100↬x=25000

[Number of votes enrolled is 25000]

ACQ,

Answer 2

we know that Distributive property=a(b+c)=a*b+a*c=99*-28+99*-28=-2772-2772=-   -5544