Answer:
More than 6 questions.
Step-by-step explanation:
Given:
Each of the 10 essay questions on the history exam counts for 6 points
Each true-false item counts for 4 points.
Maximum marks of the test = 100
Nancy scores 56 points in the essay section of the test.
Question asked:
How many true or false items,x, can Nancy get correct to score more than an 80 out of 100 points on the test?
Solution:
Maximum marks = 100
Each essay question carry = 6 marks
Maximum marks of essay section = [tex]6\times10=60\ marks[/tex]
In essay section, she got = 56 marks
Maximum marks of true false section = 100 - 60 = 40 marks
Number of true false question = [tex]\frac{40}{4} = 10\ questions[/tex]
To get more than 80 marks
She must obtain more than = 80 - 56 = 24 marks in true false section.
To do so, she must correct more than = [tex]\frac{24}{4}=6\ questions[/tex]
Therefore, Nancy must correct more than 6 questions to get more than 80 marks out of 100 points on the test.
