An 80-member committee voted on whether to send a certain bill to the governing board. One-fourth voted in favor, 2/5 voted against, and the rest abstained. How many abstained?

Respuesta :

Answer:

Let's understand the concept:-

  • Here the committee consists of 80members
  • For finding the abstained we need to find first How many voted in favour and in against

Required Answer :-

The number of members =80

  • One fourth voted in favour So first find how many voted in favour

[tex]{:}\longmapsto [/tex][tex]\sf {\dfrac{1}{{\bcancel {4}}}}×{\bcancel {80}} [/tex]

[tex]{:}\longmapsto [/tex][tex]\sf 20[/tex]

  • 20 members voted in favour

Again

  • two fifth voted against
  • Find how many voted against

[tex]{:}\longmapsto [/tex][tex]\sf {\dfrac {2}{5}}×80 [/tex]

[tex]{:}\longmapsto [/tex][tex]\sf {\dfrac {160}{5}}[/tex]

[tex]{:}\longmapsto [/tex][tex]\sf 32 [/tex]

  • 32 members voted against

Now ,

  • Rest members stayed abstained
  • So we need to substract all voted members from the whole committee to get rest

[tex]{:}\longmapsto [/tex][tex]\sf 80-(32+20)[/tex]

[tex]{:}\longmapsto [/tex][tex]\sf 80-52 [/tex]

[tex]{:}\longmapsto [/tex][tex]\sf 28 [/tex]

[tex]\therefore[/tex] 28 members stay abstained.