In election to choose a student representative it was found that 2/15 (fraction ) of the students voted for Omar, 3/5 voted for scott and the remainder voted for lindsey

What fraction if the students voted for lindsey

Respuesta :

okay so Omar had 2/15 of the votes and Scott had 3/5 which will go up to 9/15 before it was reduced down so 9 plus 2 is 11 so 15 minus 11 is 4 so Lindsey got 4/15 of the votes.

Answer:

[tex]\frac{4}{15}[/tex]

Step-by-step explanation:

We have that,

Number of students voted for Omar = [tex]\frac{2}{15}[/tex]

Number of students voted for Scott= [tex]\frac{3}{5}[/tex] = [tex]\frac{9}{15}[/tex]

Therefore, we get that,

Total number of votes = [tex]\frac{2}{15}[/tex] + [tex]\frac{9}{15}[/tex]

i.e. Total number of votes = [tex]\frac{11}{15}[/tex]

So, it can be seen that 'out of 15 students, 11 voted for both Omar and Lindsey combined'.

As the rest of students voted for Lindsey. Therefore, number of students who voted for Lindsey = 15 - 11 = 4.

So, it gives us that 'out of 15 students, 4 voted for Lindsey'.

Hence, the fraction of students that voted for Lindsey is [tex]\frac{4}{15}[/tex]