Question 1:
To determine which statements are correct, we need to analyze the information given. It states that 10% of the students are 160, which means:
- Let \( x \) be the total number of students:
\( 0.10x = 160 \)
\( x = \frac{160}{0.10} = 1600 \)
From this, we can conclude:
- There are 1,600 students in the school. (Correct)
- The total number of students is > 160. (Correct)
- The percent as a part-to-whole ratio is 10/100. (Correct)
Incorrect Statements:
- There are 250 students in the school. (Incorrect)
- The total number of students is < 160. (Incorrect)
- The percent as a part-to-whole ratio is 160/100. (Incorrect)
Correct Responses:
- There are 1,600 students in the school.
- The total number of students is > 160.
- The percent as a part-to-whole ratio is 10/100.
Question 2:
To determine who solved the problem correctly, we use the formula:
If 150 is 25% of a number \( x \), then:
\[ 150 = 0.25x \]
\[ x = \frac{150}{0.25} = 600 \]
Thus, 150 is 25% of 600.
Without the explicit calculations from each student, I would recommend checking each student's work to see who correctly derived that 600 is the number that 150 is 25% of.
Choose the student whose work is correct based on their calculations.
Question 3:
If 5 crackers represent 5% of the entire box, we can use the formula:
- Let \( x \) be the total number of crackers in the box:
\[ 0.05x = 5 \]
\[ x = \frac{5}{0.05} = 100 \]
Thus, there were 100 crackers in the box.
Answer:
100