Question $38$ $\newline$ $1$ pts $\newline$ If it takes $5$ vans to transport $42$ people, how many vans are needed to transport $168$ people?

Full solution

Q. Question

38

\newline

1

pts

\newline

If it takes

5

vans to transport

42

people, how many vans are needed to transport

168

people?

Given Information: We are given that $5$ vans can transport $42$ people. We need to find out how many vans are needed to transport $168$ people. To do this, we can set up a proportion because the number of vans needed is directly proportional to the number of people to be transported.
Calculate People per Van: First, we calculate the number of people that one van can transport by dividing the total number of people transported by the number of vans. $\newline$ Number of people one van can transport = $42$ people / $5$ vans
Calculate Number of Vans: Perform the calculation for the number of people one van can transport. $42$ people $/$ $5$ vans $=$ $8.4$ people/van
Set Up Equation: Now, we use the number of people one van can transport to find out how many vans are needed for $168$ people. We set up the equation: $\newline$ Number of vans needed = Total number of people to transport / Number of people one van can transport $\newline$ Number of vans needed = $\frac{168 \text{ people}}{8.4 \text{ people/van}}$
Find Number of Vans: Perform the calculation to find the number of vans needed. $168$ people $/$ $8.4$ people/van $=$ $20$ vans