Answer :
let no. of correct answers be x. no. of incorrect would be equal to 19-x. total score =23
so
5x- 3( 19- x)=23
8x=80
x=10
and y=19-10=9
so
5x- 3( 19- x)=23
8x=80
x=10
and y=19-10=9
Answer:
The final answer is
1)The number of correct answers = 10
2)The number of incorrect answers = 9
Step-by-step explanation:
We need to find the number of questions which were attempted correctly and incorrectly by Rakesh if he attempted a total of 19 questions and earned 23 marks if +5 marks are given for every correct answer and -3 marks are given for every incorrect answer.
Let x , y be the total number of correct and incorrect answers respectively Rakesh has answered then,
x + y = 19
x = 19 - y
5x - 3y = 23
5(19 - y) - 3y =23
95 - 5y -3y = 23
-8y = 23 - 95
-8y = -72
y = 9
x = 19 - 9 = 10
The number of correct answers = 10
The number of incorrect answers = 9
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