There are twice as many girls as boys in a class. If 45% of the girls and 30% of the boys have submitted their consent for the outstation tour, then what per cent of the students have NOT submitted consent for the tour?
- A60%
- B44%
- C50%
- D40%
Solution & Step-by-step Explanation
Let the number of boys in the class be 100.
Since there are twice as many girls as boys, the number of girls is:
Girls=2×100=200
Total Students=100+200=300
Step 1: Calculate the percentage of students who did NOT give consent
For girls: 45% submitted consent, which means 100%−45%=55% did NOT submit consent.
Girls without consent=55% of 200=0.55×200=110
For boys: 30% submitted consent, which means 100%−30%=70% did NOT submit consent.
Boys without consent=70% of 100=70
Step 2: Total number of students who did not give consent
Total without consent=110+70=180
Step 3: Calculate the overall percentage
Percentage=(
300
180
)×100%=60%
Since there are twice as many girls as boys, the number of girls is:
Girls=2×100=200
Total Students=100+200=300
Step 1: Calculate the percentage of students who did NOT give consent
For girls: 45% submitted consent, which means 100%−45%=55% did NOT submit consent.
Girls without consent=55% of 200=0.55×200=110
For boys: 30% submitted consent, which means 100%−30%=70% did NOT submit consent.
Boys without consent=70% of 100=70
Step 2: Total number of students who did not give consent
Total without consent=110+70=180
Step 3: Calculate the overall percentage
Percentage=(
300
180
)×100%=60%