There are 20 questions in the Mathematics examination. 4 marks are awarded for each correct answer, 2 marks are deducted for each incorrect answer and no marks will be deductedor awarded for unanswered answer. At most how many questions does Amy answer correctly if her score is 60
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\(\text{Gọi số câu mà tae... trả lời đúng là x; trả lời sai là y, ta có: }\)
\(\hept{\begin{cases}x+y=10\\7x-3y=50\end{cases}\Rightarrow\hept{\begin{cases}3x+3y=30\\7x-3y=50\end{cases}\Rightarrow}}\hept{\begin{cases}3x-30=-3y\left(1\right)\\7x-3y=50\left(2\right)\end{cases}}\)
\(\text{Thay }-3y=3x-30\text{ ở (1) vào (2), ta được }:\)
\(7x+\left(3x-30\right)=50\Rightarrow10x-30=50\Rightarrow x=8\Rightarrow y=2\)
\(\text{Vậy teakwon trả lời đúng 8 câu, sai 2 câu }\)
bài giải
nếu tea kwon làm đúng hết tất cả số câu thì anh ấy được số điểm là :
10 * 7 = 70 ( điểm )
mỗi câu sai bị trừ số điểm so với câu đúng là :
3 + 7 = 10 ( điểm )
số điểm anh làm mất là :
70 - 50 = 20 ( điểm )
số câu anh làm sai là :
20 : 10 = 2 ( câu )
số câu anh làm đúng là :
10 - 2 = 8 ( câu )
đáp số : 8 câu
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