Question

4 tour groups took a trip to the national museum there are 35 people in each group a maximum of 40 people were allowed on a tour at 1 time what was the least number of tours needed for all the people to take the tour

Answer 1

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.

$\text{Total number of people in 4 groups}=35\times 4$

$\text{Total number of people in 4 groups}=140$

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 $40x$.

The number of people who will visit museum in x tours should be greater than or equal to 140.

$40x\geq 140$

$\frac{40x}{40}\geq \frac{140}{40}$

$x\geq 3.5$

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.