The American Dietetic Association reported that 31 out of every 100 people want to lose weight. If 384 students were surveyed at random in the student union, how many would want to lose weight?

Use a proportion. Cross multiply and solve for x.

31/100 = x/384

To find out how many students would want to lose weight, we need to calculate 31% of the total number of students surveyed.

To do this, we can use the formula:

(Number of students surveyed) x (Percentage as a decimal) = Number of students who want to lose weight

So, from the given information:
(Number of students surveyed) = 384
(Percentage as a decimal) = 31% = 0.31

Now, we can calculate the number of students who want to lose weight by multiplying these values:

384 x 0.31 = 118.24

Since we are dealing with people, we should round this number to the nearest whole number. Therefore, approximately 118 students out of the 384 students surveyed would want to lose weight.