At a give lunch period, 75% of the students buying lunch selected pizza. 60% of the students who did not select pizza selected chicken nuggets. What percent of the students selected something other than pizza or chicken nuggets ?

Options

A. 0
B. 0.1
C. 0.15
D. 0.25

Answer

To solve the problem step by step, we can follow these calculations:

1. **Assume Total Students**: Let's assume there are 100 students in total. This makes it easier to work with percentages.

2. **Calculate Students Selecting Pizza**: According to the problem, 75% of the students selected pizza.
\[ \text{Number of students selecting pizza} = 75\% \text{ of } 100 = \frac{75}{100} \times 100 = 75 \text{ students} \]

3. **Calculate Students Not Selecting Pizza**: The number of students who did not select pizza is:
\[ \text{Number of students not selecting pizza} = 100 - 75 = 25 \text{ students} \]

4. **Calculate Students Selecting Chicken Nuggets**: It is given that 60% of the students who did not select pizza selected chicken nuggets. Therefore, we calculate:
\[ \text{Number of students selecting chicken nuggets} = 60\% \text{ of } 25 = \frac{60}{100} \times 25 = 15 \text{ students} \]

5. **Calculate Students Selecting Something Other Than Pizza or Chicken Nuggets**: The remaining students selected something other than pizza or chicken nuggets. We can find this by subtracting the number of students who selected pizza and chicken nuggets from the total number of students:
\[ \text{Number of students selecting something else} = 100 - (75 + 15) = 100 - 90 = 10 \text{ students} \]

6. **Calculate the Percentage of Students Selecting Something Other Than Pizza or Chicken Nuggets**: Finally, to find the percentage of students who selected something other than pizza or chicken nuggets:
\[ \text{Percentage} = \left(\frac{10}{100}\right) \times 100\% = 10\% \]

Thus, the final answer is that **10% of the students selected something other than pizza or chicken nuggets**.