the table shows the fraction of votes that each candidate received. if 230 students voted, how many students voted for each candidate? Naomi 3/5, Luke 3/10, Natalie 1/10

Respuesta :

Hail
3/5=6/10 so Naomi got 138.
Luke got 69.
And Natalie got 23.
To get the number of students who voted for each candidate, we multiply their respective fractions by the total number of votes.

[tex]<b><u>NAOMI,</u></b>[/tex]

[tex] \frac{3}{5} \times 230[/tex]

We reduce to obtain,

[tex] = \frac{3}{1} \times 46[/tex]

We now multiply out to get,

[tex] = 138[/tex]

Hence Naomi had 138 votes.

[tex]<b><u>LUKE</u></b>[/tex]

[tex] \frac{3}{10} \times 230[/tex]

[tex] = \frac{3}{1} \times 23[/tex]
We now multiply again to get;

[tex] = 69[/tex]

Luke also had 69 votes.

[tex]<b><u>NATALIE</u></b>[/tex]

We again use the fraction to multiply the total number of votes.

[tex] \frac{1}{10} \times 230[/tex]

[tex] = \frac{1}{1} \times 23[/tex]

[tex] = 23[/tex]

Therefore Natalie also had 23 votes.
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