Question

Each cable car at an amusement park can hold 6 riders. There are 51 people in line to ride the cable cars.

Part A
How many cable cars will the people in line fill? Enter the answer in the box.

cable cars

Question 2
(1 point)
Part B
How many more people are needed to fill the next cable car? Enter the answer in the box.

people

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Answer 1

To solve the problem, we start by determining how many cable cars will be needed for 51 people, given that each cable car holds 6 riders.

**Part A:**

1. Divide the total number of people by the capacity of one cable car:
\[
\text{Number of cable cars} = \frac{51}{6} = 8.5
\]
2. Since you can't have a fraction of a cable car, round up to the nearest whole number. Therefore, the total number of cable cars needed is:
\[
9 \text{ cable cars}
\]

**Part B:**

1. Each cable car holds 6 people, so for the 9th cable car, the number of slots remaining to be filled is:
\[
6 - (\text{people in first 8 cars}) = 6 - (8 \times 6 - 51) = 6 - 3 = 3
\]

Thus, **Part A** would be **9 cable cars**, and **Part B** would be **3 people** needed to fill the next cable car.