Question

A survey of 100 people found that 35 people exercise in the morning, 45 people exercise in the afternoon, and 20 people exercise at night. Tara claims that 35:55, 45:80, and 20:65 are possible ratios from this data. Jim claims that 35:100, 45:100, and 20:100 are possible ratios from this data. Who is correct? Explain.

Answer 1

Jim because the overall ratios have to be relatable

Answer 2

Jim is correct because the ratios need to compare with the total amount of people surveyed. 55, 80, and 65 are numbers that don't fit in and don't tell the overall ratio. You can tell this by writing it as a fraction. 
Ex: 35:100 = 35/100. This literally means 35 out of 100 people exercise in the morning. 

Hope this helps! If you have any questions, just ask!