Question

Choose the correct answer to the given question.

Each of the two groups of tourists has $60$ people. If $\frac{3}{4}$ of the first group and $\frac{2}{3}$ of the second group board buses to travel to a museum, how many more people of the first group board buses than the second group.

• A. $2$
• B. $4$
• C. $5$
• D. $20$

Answer 1

The correct option is C

$5$

Number of people who boarded bus in the first group$=60\times \frac{3}{4}=45$

Remaining people in first group $=60-45=15$

Number of people who boarded bus in the second group $=60\times \frac{2}{3}=40$

Remaining people in second group $=60-40=20$

Hence, the number of people in the first group who board buses more than the second group$=20-15=5$

Therefore, option $C$ is the correct answer.