High School

On the subway, 8 out of 12 people are carrying a briefcase. Based on this information, if there are 96 people on the subway, how many would have a briefcase?

Answer :

If 8 out of 12 people are carrying a briefcase, then the proportion of people carrying a briefcase is 8/12 or 2/3.To find out how many people out of 96 would have a briefcase, we can set up a proportion:2/3 = x/96To solve for x, we can cross-multiply:2(96) = 3x192 = 3xDividing both sides by 3:x = 64Therefore, out of 96 people on the subway, 64 would be carrying a briefcase

Answer: 64

Step-by-step explanation:

If 8 out of 12 people on the subway are carrying a briefcase, it means that the fraction of people carrying a briefcase is 8/12 or 2/3.

If there are 96 people on the subway, we can use this fraction to determine how many of them are carrying a briefcase. We can set up a proportion:

2/3 = x/96

where x is the number of people carrying a briefcase. To solve for x, we can cross-multiply:

2 * 96 = 3 * x

192 = 3x

x = 64

Therefore, if there are 96 people on the subway and 8 out of 12 people are carrying a briefcase, then 64 people would have a briefcase.