Sheryl correctly answered 85% of the questions on her 200-question biology final.
Fernando scored a 90% on his 180-question chemistry final.
(a) Who answered more questions correctly? ____________________
(b) Who answered more questions incorrectly? ___________________
A. Sheryl
85%*200=170
90%*180=162
B. Sherly
200-170=30
180-162=18
To determine who answered more questions correctly and who answered more questions incorrectly, we need to find the number of questions each person answered correctly and incorrectly.
For Sheryl:
Number of questions on the biology final: 200
Percentage of questions answered correctly: 85%
To find the number of questions Sheryl answered correctly, we need to calculate 85% of 200:
Number of questions answered correctly by Sheryl = (85/100) * 200 = 170
So, Sheryl answered 170 questions correctly.
For Fernando:
Number of questions on the chemistry final: 180
Percentage of questions answered correctly: 90%
To find the number of questions Fernando answered correctly, we need to calculate 90% of 180:
Number of questions answered correctly by Fernando = (90/100) * 180 = 162
So, Fernando answered 162 questions correctly.
Now, to determine who answered more questions correctly and incorrectly:
(a) To answer the question of who answered more questions correctly, compare the numbers:
Sheryl answered 170 questions correctly.
Fernando answered 162 questions correctly.
Since 170 is greater than 162, we can conclude that Sheryl answered more questions correctly.
(b) To answer the question of who answered more questions incorrectly, we subtract the number of questions answered correctly from the total number of questions:
For Sheryl:
Number of questions answered incorrectly by Sheryl = Total questions - Questions answered correctly
Number of questions answered incorrectly by Sheryl = 200 - 170 = 30
For Fernando:
Number of questions answered incorrectly by Fernando = Total questions - Questions answered correctly
Number of questions answered incorrectly by Fernando = 180 - 162 = 18
Since 30 is greater than 18, we can conclude that Sheryl answered more questions incorrectly.