A random survey of 9th and 12th grade students was taken regarding the type of drink they liked to order at their local coffee s
hop. The results are in the table below.
Specialty hot drink Specialty cold drink Totals
_______________________________________________________
9th graders 90 210 300
_______________________________________________________
12th graders 313 137 450
_______________________________________________________
Totals 403 347 750
_______________________________________________________
The percentage of voters in the survey who answered that they are both 12th graders and like to order specialty cold drinks is p%. What is the value of p rounded to the nearest percent?
A.) 39%
B.) 42%
C.) 65%
D.) 18%
Specialty hot drink Specialty cold drink Totals
_______________________________________________________
9th graders 90 210 300
_______________________________________________________
12th graders 313 137 450
_______________________________________________________
Totals 403 347 750
_______________________________________________________
The percentage of voters in the survey who answered that they are both 12th graders and like to order specialty cold drinks is p%. What is the value of p rounded to the nearest percent?
A.) 39%
B.) 42%
C.) 65%
D.) 18%
1 answer:
The table is shown below in the attached picture.
The grand total is the bottom rightmost cell, yellow in color.
12th graders AND likes specialty cold drinks is the cell colored green.
These 137 people are p% of the total. To get the value of p, we will divide this number (137) by grand total (750) and multiply by 100 to get the value.
%.
Rounded to the nearest percent, it is 18%. Answer choice D is correct.
ANSWER: D
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First case:
average of test score =70
number of students =p
total score of 'p' students = ( average of test score)*( number of students)
total score of 'p' students =70p
Second case:
average of test score =92
number of students =n
total score of 'n' students = ( average of test score)*( number of students)
total score of 'n' students =92n
total number of students = p+n
total average score =86
so, total score =86(p+n)
total score = total score of 'p' students +total score of 'n' students
now, we can simplify it
now, we can find p/n
................Answer