Answer:
4 tours.
Step-by-step explanation:
Let x represent number of tours.
We have been given that 4 tour groups took a trip to the national museum. There are 35 people in each group.
Let us find total number of people in 4 groups.
[tex]\text{Total number of people in 4 groups}=35\times 4[/tex]
[tex]\text{Total number of people in 4 groups}=140[/tex]
We are also told that a maximum of 40 people were allowed on a tour at 1 time. So people who will see museum in x tours would be [tex]40x[/tex].
The number of people who will visit museum in x tours should be greater than or equal to 140.
[tex]40x\geq 140[/tex]
[tex]\frac{40x}{40}\geq \frac{140}{40}[/tex]
[tex]x\geq 3.5[/tex]
Since we cannot take 0.5 of a tour, therefore, the least number of tours that needed for all the people to take the tour would be 4.
