Question

It takes a student 11 seconds to scan their hand at lunch. During one 30 min lunch period, approximately how many students can be scanned??? Is it 18,1008,180,1800. Plzzz I will give you 100 points

Answer 1

It takes 11 seconds to scan one person. So we have this ratio to start with

11 seconds: 1 person

Divide both sides by 11 to get this new ratio

1 second: 1/11 person

1 second: 0.0909 person

So in 1 second, 0.0909 of a person can be scanned. This statement seems silly because we can't have a fraction of a person, but it helps with the next part as shown below. The next step is to multiply both sides by 1800 to get....

1 second: 0.0909 person

1800*1 second: 1800*0.0909 person

1800 seconds: 163.62 persons

In a span of 1800 seconds (equivalent to 30 minutes), about 163 people's lunches can be scanned. Unfortunately, none of the answer choices are 163. The closest thing is 180, but that is an overestimate. So I would ask your teacher if there is a typo somewhere.

Note: if it took exactly 10 seconds for each student (instead of 11), then the answer would be 1800*(1/10) = 1800*0.10 = 180.