Question

Each of the 10 essay questions on the history exam counts for 6 points. Each true-false item counts for 4 points. Nancy scores 56 points in the essay section of the test. How many true or false items,x, can Nancy get correct to score more than an 80 out of 100 points on the test.

Answer 1

More than 6 questions.

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 =
`6*10=60\ marks`

In essay section, she got = 56 marks

Maximum marks of true false section = 100 - 60 = 40 marks

Number of true false question =
`(40)/(4) = 10\ questions`

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 =
`(24)/(4)=6\ questions`

Therefore, Nancy must correct more than 6 questions to get more than 80 marks out of 100 points on the test.