our class voted for treasurer.there are 20 students.after voting billy received 3 times more votes then keeton.how many votes did billy receive?​

Respuesta :

Answer:

Votes received by Billy =15

Step-by-step explanation:

Given:

Total students in the class = 20

Billy receives 3 times more vote than Keeton.

To find the number of votes Billy receives.

Solution:

Let number of votes Keeton gets [tex]=x[/tex]

∴ Billy received [tex]=3x[/tex] votes

Expression for total votes can be given by ⇒ [tex]x+3x[/tex]

Total votes =20 as number of students is 20.

So, the equation to find [tex]x[/tex] is:

[tex]x+3x=20[/tex]

Solving for  [tex]x[/tex]

⇒ [tex]4x=20[/tex]

Dividing both sides by 4.

[tex]\frac{4x}{4}=\frac{20}{4}[/tex]

∴ [tex]x=5[/tex]

∴ Votes received by Keeton = 5

Votes received by Billy = [tex]3\times 5[/tex] = 15

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