Question
We have 60 people attending the zoo field trip. 10 people will drive themselves. The rest will ride in vans that hold 5 people each. Can you find an example of how to represent this situation using an inequality?
Answers
GPT-4o mini
Certainly! To represent this situation using an inequality, let's define some variables and set up the relationship.
1. Let \( v \) represent the number of vans used.
2. Each van holds 5 people.
3. Since 10 people will drive themselves, the number of people who need to ride in the vans is \( 60 - 10 = 50 \).
The total capacity of the vans can be expressed as \( 5v \). Since all 50 of these remaining people must fit in the vans, we can set up the inequality:
\[
5v \geq 50
\]
This inequality states that the total capacity of the vans (5 times the number of vans) must be at least 50, the number of people needing a ride.
To simplify, we can divide both sides by 5:
\[
v \geq 10
\]
This result means that at least 10 vans are needed to accommodate the remaining 50 people.
1. Let \( v \) represent the number of vans used.
2. Each van holds 5 people.
3. Since 10 people will drive themselves, the number of people who need to ride in the vans is \( 60 - 10 = 50 \).
The total capacity of the vans can be expressed as \( 5v \). Since all 50 of these remaining people must fit in the vans, we can set up the inequality:
\[
5v \geq 50
\]
This inequality states that the total capacity of the vans (5 times the number of vans) must be at least 50, the number of people needing a ride.
To simplify, we can divide both sides by 5:
\[
v \geq 10
\]
This result means that at least 10 vans are needed to accommodate the remaining 50 people.