Question

74 members are going to pass a resolution to select a team leader. If 1 over 6 of the members voted in favor and 2 over 5 of the members voted against, how many did not vote?

Type your answer to the nearest whole number.

Answer 1

`\small{\green}\fcolorbox{blue}{cyan}{\bf{\underline{\red{\color{red}Answer}}}}`

32 people don't voted to pass the resolution.

Explanation:

`\textsf {\underline {\large{To find :-}}}`

The no. of members who didn't voted

`\sf{ \large{ \underline {Given :-}}}`

`\sf Tota \: no. \: of \: members = 74 \\ \sf {Fraction \: of \: members \: who \: voted \: in \: favour = (1)/(6)} \\ \sf {Fraction \: of \: members \: who voted \: against = (2)/(5)}`

`\sf{ \underline{ \underline{ \huge {Solution :-}}}}`

First need to find no. of members who voted in favor

`\sf \implies (1)/(6) * 74 \\ \\ \sf \implies12.33`

Now we need to find no. of members who voted against

`\sf \implies (2)/(5) * 74 \\ \\ \sf \implies 29.6`

Now to find no. of members who do not voted

we need to substract total no. of members from sum of whom who voted in favor and against

`\sf \implies 74 - (12.33 + 29.6) \\ \\ \sf \implies 74 - 41.93 \\ \\ \sf {\implies 32.07} \\ \\ \sf \pink{ \implies 32}`