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.

Respuesta :

[tex]\small{\green}\fcolorbox{blue}{cyan}{\bf{\underline{\red{\color{red}Answer}}}}[/tex]

32 people don't voted to pass the resolution.

Step-by-step explanation:

[tex] \textsf {\underline {\large{To find :-}}}[/tex]

The no. of members who didn't voted

[tex] \sf{ \large{ \underline {Given :-}}}[/tex]

[tex] \sf Tota \: no. \: of \: members = 74 \\ \sf {Fraction \: of \: members \: who \: voted \: in \: favour = \frac{1}{6}} \\ \sf {Fraction \: of \: members \: who voted \: against = \frac{2}{5}} [/tex]

[tex] \sf{ \underline{ \underline{ \huge {Solution :-}}}}[/tex]

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

[tex] \sf \implies \frac{1}{6} \times 74 \\ \\ \sf \implies12.33 [/tex]

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

[tex] \sf \implies \frac{2}{5} \times 74 \\ \\ \sf \implies 29.6[/tex]

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

[tex] \sf \implies 74 - (12.33 + 29.6) \\ \\ \sf \implies 74 - 41.93 \\ \\ \sf {\implies 32.07} \\ \\ \sf \pink{ \implies 32}[/tex]