Question

Each student at a high school throws away two pounds of garbage a day. If there are s students at the school and the non-students at the school throw away a total of 350 pounds of garbage a day, which of the following expressions represents how many pounds of garbage are thrown away at the school each day?

A) 2(s+175)
B)2(s+350)
C)350(s+2)
D)350s

Answer 1

2(s+175)

Step-by-step explanation

The total amount of garbage thrown away at the school each day is the amount of garbage thrown away by the students plus the amount of garbage thrown away by non-students.

total = lb students + lb non-students

lb students is 2s as each student throws away two pounds a day.

lb non-students is 350. Therefore, the total amount of pounds of garbage thrown away each day is

total = 2s + 350

We can factor out a 2 from this expression as each term is divisible by 2 and that is the greatest common factor. We end up with

total = 2(s+175)