Asked by Anonymous
There are 45 questions in an exam.for every correct answer 5 points and every wrong 3 points is deducted.if she got 185 point.how many correct answers did she get...
Answers
Answered by
Bosnian
c = correct answes
w = wrong answe
She must answer 45 questions so the sum of right and wrong answers is 45.
c + w = 45
For every correct answer 5 marks is awarded and for every wrong answer 3 marks is deducted.
This means:
She got
c ∙ 5 - w ∙ 3 = 185 points.
Now you must solve system:
c + w = 45
5 c - 3 w = 185
____________
The solutions are:
c = 40
w = 5
40 correct answes
5 wrong answes
Checking the results.
c + w = 40 + 5 = 45
c ∙ 5 - w ∙ 3 = 40 ∙ 5 - 5 ∙ 3 = 200 - 15 = 185
w = wrong answe
She must answer 45 questions so the sum of right and wrong answers is 45.
c + w = 45
For every correct answer 5 marks is awarded and for every wrong answer 3 marks is deducted.
This means:
She got
c ∙ 5 - w ∙ 3 = 185 points.
Now you must solve system:
c + w = 45
5 c - 3 w = 185
____________
The solutions are:
c = 40
w = 5
40 correct answes
5 wrong answes
Checking the results.
c + w = 40 + 5 = 45
c ∙ 5 - w ∙ 3 = 40 ∙ 5 - 5 ∙ 3 = 200 - 15 = 185
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