Question

A survey o 100 people found that 35 people exercise in the morning, 45 people exercise in the afternoon, and 20 people exercise at at night. Tara claims that 33:55, 48:88 and 20:65 are possible ratios from this data. Jim claims that 35:100, 405:100 and 200:100 are possible ratios from the data who is correct? Explain

Answer 1

Jim is correct.

Explanation:

Given that:

Total people = 100

People who exercise in morning = 35

People who exercise in the afternoon= 45

People who exercise in the evening = 20

Ratio claimed by Tara = 33:55, 48:88, and 20:65

Ratio claimed by Jim = 35:100, 45:100, and 20:100

To find:

who is correct ?

Solution:

Looking at the ratio claimed by Tara, the ratio are number which are not known to us.

Therefore, the ratio claimed by Tara can not be correct.

Now, looking at the ratio claimed by Jim:

35:100, 45:100, and 20:100

35 is the number of people who exercise in morning.

45 is the number of people who exercise in evening.

20 is the number of people who exercise in night.

and 100 is the total number of people.

Therefore, this ratio represents the "Part-to-whole" ratio.

So, Jim is correct.