Respuesta :
Answer:
Step-by-step explanation:
Let the total number of votes to choose a color = x
Number of votes for blue = [tex]\frac{5}{8}\times x[/tex]
Remaining votes = x - [tex]\frac{5}{8}\times x[/tex]
= [tex]\frac{8x-5x}{8}\times x[/tex]
= [tex]\frac{3}{8}\times x[/tex]
Votes for green = [tex]\frac{5}{9}\times (\text{Remaining votes})}[/tex]
= [tex]\frac{5}{9}\times \frac{3x}{8}[/tex]
= [tex]\frac{5}{24}\times x[/tex]
Finally remaining votes = [tex]\frac{3x}{8}-\frac{5x}{24}[/tex]
= [tex]\frac{9x-5x}{24}[/tex]
= [tex]\frac{4x}{24}[/tex]
= [tex]\frac{x}{6}[/tex]
Since these votes are for red therefore,
[tex]\frac{x}{6}[/tex] = 48
x = 48×6
= 288
a) Votes for blue are [tex]\frac{5x}{8}[/tex]
Therefore, exact number for blue votes = [tex]\frac{5\times 288}{8}[/tex]
= 5×36
= 180
b). Votes for green = [tex]\frac{5x}{24}[/tex]
= [tex]\frac{5\times 288}{24}[/tex]
= 60
c). Since 25 students were absent on that day of the vote, number of students at Riverside Elementary School = 288 + 25
= 313
d). Since seven tenths of the votes for blue were made by the girls.
Therefore, number of girls voted for blue = [tex]\frac{7}{10}\times 180[/tex]
= 7×18
= 126
Since total votes made = 288
Therefore, half of the votes made = [tex]\frac{288}{2}[/tex]
= 144
Now it's clear that number of votes made by girls is less than half of all the votes.
e). 126 girls voted for blue.
