A group of 140 tourists are going on a tour. The tour guide rents 15 van. Each van hold 9 tourist

1 answer:

8 0

The tour guide should have rented 16 vans to accommodate the group of 140 tourists.

We multiply the number of vans to the number of tourists it can hold.

15 * 9 = 135 tourists

Out of the 140 tourists, only 135 can be accommodated by the 15 vans rented leaving 5 tourists with no ride.

140 - 135 = 5 tourists

Had the tour guide rented 16 vans, everyone would have a ride, leaving 4 extra seats unoccupied.

16 * 9 = 144 tourists capable of being seated
144 - 140 (actual number of tourists) = 4 extra seats available.

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If you randomly pick a number from 1 to 25, what is the probability that the number will have “2” as one of the digits?

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Answer:

$\frac{7}{25}$

Step-by-step explanation:

In the interval $n\in [1, 25]$ , there are $(25-1)+1=25$ numbers total. The number $2$ appears as the ones digit for $3$ numbers in this interval: $0\bold{2}, 1\bold{2}, 2\bold{2}$ . The subset $n\in [20, 25]$ marks the interval of numbers in the set that has the number $2$ as the tens digit. There are $(5-1)+1=5$ numbers in this set. Since $22$ is counted twice, there are a total of $5+3-1=7$ numbers in the original interval that contain the number $2$ . Therefore, the probability a random selected number from the interval has the number $2$ in it is $\fbox{$\frac{7}{25}$}$ .