Xiaohua took part in the city math competition, with 12 questions. He got a score of 10 if he did a correct question, and a score of 4 if he did a wrong question. Xiaohua got 78 points in the exam. How many questions did Xiaohua do right?
Xiaohua took part in the city math competition, with 12 questions. He got a score of 10 if he did a correct question, and a score of 4 if he did a wrong question. Xiaohua got 78 points in the exam. How many questions did Xiaohua do right?
Solution:
Score of all answers: 12× 10= 120.
Actual score: 78 points
Score difference: 120-78=42 points.
Change a correct question into a wrong question, and the score difference is: 10+4= 14.
Number of wrong questions: 42÷ 14=3
Number of correct questions: 12-3=9.
Xiaohua answered nine questions correctly.