Analysis: This problem belongs to the typical profit and loss problem. On the basis of hypothesis method, understanding a wrong question is 2+5=7 points less than answering a right question; The key point is to find out how many points are missing (total loss), and then use: total loss ÷ the sum of each profit and loss = the number of copies to find the number of wrong questions.
Assuming that Xiao Ming answers all the answers correctly, the score is:
10×5=50 (points)
He answered wrong:
(50-36)÷(5+2)
= 14÷7
=2 (track)
Number of correct answers: 10-2=8 (Dao)
Xiaoming answered eight questions correctly.
Extended data
Related formulas of profit and loss problem:
1, (profit+loss) ÷ twice per capita income difference = number of people;
2. Two surpluses are subtracted, and the income difference of each person is twice = the number of people;
3, two losses are subtracted, and the difference between the two per capita incomes = the number of people;
4. Per capita income × number of people+surplus = number of things;
5. Per capita income × number of people-loss = number of things.
Analysis of related examples:
A tree planting team went to plant trees. If everyone plants 4 trees, there are still 13 seedlings left. If each race has 6 trees, there will be a shortage of 15 saplings. Ask how many people there are in this group and how many seedlings there are in this group.
Solution: It is known that each person planted 4 trees, and the remaining 13 seedlings were not planted; If everyone plants 6 trees; 15 seedlings are missing. One is surplus and the other is deficiency, with a difference of (13+ 15)=28 trees. If we follow the second method, we can plant 28 more trees than the first method. This is because everyone planted two more trees.
In a word, since each person can plant 2 more trees, one * * * can plant 28 more trees, so the number of groups can be obtained. Later, you can also calculate the number of saplings.
1, number of people in this group:
(13+15) ÷ (6-4) = 28 ÷ 2 =14 (person)
2.* * * Number of saplings:
4×14+13 = 56+13 = 69 (tree)
A: There are 14 people in this group, with * * * 69 saplings.