10. (10 points) The students of Class 2, Grade 3 are having a swimming lesson. Boys wear blue swimming caps, and girls wear red swimming caps.
The male PE monitor says: “I see 1 more blue cap than 4 times the number of red caps.”
The female PE monitor says: “I see 24 more blue caps than red caps.”
Based on what the two PE monitors said, calculate the total number of students in Class 2, Grade 3.
A. 35
B. 36
C. 37
D. 38
【Answer】Solution: The male PE representative saw one less blue hat, so in reality, the number of blue swim caps is 2 more than 4 times the number of red swim caps. The female PE representative saw one less red hat, so in reality, the number of blue swim caps is 23 more than the number of red swim caps. The number of red swim caps is $(23-2) \div (4-1)=7$ (caps), and the number of blue swim caps is $7+23=30$ (caps). In total, there are $30+7=37$ (students). Therefore, the answer is: $C$.