Since this is a multiple choice question, we can find the correct answer by eliminating the options that are certainly not correct.
Checking the Number of Students
It is given that 225 students voted for the theme A Night Under the Stars and 480 students voted for the theme The Time of My Life.
The sum of these two numbers gives the total number of students who voted.
Total number of votes:225+480=705Let's check the total number of votes in the options and highlight the ones where the total of boy and girl votes is 705.
Option
Boys
Girls
Total
A
176
351
527
B
395
310
705
C
380
325
705
D
705
325
1030
E
854
176
1030
We can see that options A, D, and E can be eliminated.
Checking the Vote Distribution
Let's concentrate now on how many boys and girl voted for the theme A Night Under the Stars.
It is given that 40 % of the girls voted for this theme.
It is also given that 75 % of the boys did not vote for this theme, so 100 %-75 %=25 % of the boys voted for this theme.
Let's see the numbers corresponding to these percentages in options B and C that are not eliminated so far.
Votes for The Night Under the Stars
Option
25 % of Boys
40 % of Girls
Total
B
0.25*395=98.75
0.40*310=124
222.75
C
0.25*380=95
0.40*325=130
225
We can see that the number in option C matches the number of votes given in the question, so option C is the correct answer.
