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.

Step-by-step explanation:

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

The no. of members who didn't voted

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

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

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

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

$\sf \implies \frac{1}{6} \times 74 \\ \\ \sf \implies12.33$

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

$\sf \implies \frac{2}{5} \times 74 \\ \\ \sf \implies 29.6$

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

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