Question

There are 20 questions in a short test. 5 marks are awarded for every correct answer, but 3 marks are deducted for every wrong answer or empty answer. I have 68 marks, how many marks I have answered correctly?[please solve with full working no shortcuts allowed] lesson - Integers

Answer 1

let I had answered x questions correctly and y questions wrong.

from the question, we have

x=20-y

5x=68+3y

by substituting the first equation into the second equation, we have

5(20-y)=68+3y

100-5y=68+3y

100-68=3y+5y

34=8y

17/6=y

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