Question

2) A history teacher is coordinating a field trip to the local history museum for 380 students.

The school allowed 8 students to travel by car, and the rest on 12 busses, each of which held
the same number of students. If there were s students in each bus, which inequality best
represents this situation?
A) 12s+8> 380
B) 12s+8 < 380
C) 8s + 12> 380
D) 8s + 12<380

Answer 1

A) 12s+8 > 380

Explanation:

The number of students accommodated by the vehicles must equal or exceed the number of students traveling.

Buses

If there are s students on each of 12 buses, the number of students traveling by bus is ...

12s

Total travelers

The 8 students traveling by car will be added to those traveling by bus to make the total accommodated by the vehicles. That total must exceed the number of students going on the field trip:

12s +8 > 380

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Additional comment

The solution to this inequality is s > 31. That means the teacher must arrange for buses that each hold more than 31 students.