A perfect score on a test with 25 questions is 100. Each question is worth 4 points. Fred got a score of 84 on the test write a division sentence using negative numbers where the quotient represents the number of questions Fred answered incorrectly
Given:
perfect score- 100
number of questions of the test- 25
worth of each question- 4 points
Fred's score- 84
n- number of questions Fred had answered incorrectly.
solution:
solve for n
division sentence: (100 ÷ 4 ) - ( 84 ÷ 4 ) = n
(100 ÷ 4 ) - ( 84 ÷ 4 ) = n
25 - 21 = n
4= n
therefore, Fred had answered 4 test questions incorrectly.
For this case, the first thing we must do is define a variable.
We have then:
x: number of incorrect answers.
We now write the equation that models the number of incorrect questions.
We have then:
\(4x = 100 - 84
\)
\(x = \frac{100}{4} - \frac{84}{4}
\)
\(x =4\)
Answer:
a division sentence using negative numbers where the quotient represents the number of questions Fred answered incorrectly is:
\(x = \frac{100}{4} - \frac{84}{4}
\)
the number of questions Fred answered incorrectly is:
\(x=4\)