The average weight of 5 students is 150.4 pounds. if no student weighs less than 130 pounds and if no two students' weights are within 5 pounds of each other, what is the most, in pounds, that any one of the students can weight

You are given the average weight of 5 students which is 150.4 pounds. Also, a condition is given wherein no student weighs less than 130 pounds and if no two students' weights are within 5 pounds of each other. You are asked to find the most pounds that any one of the students can weight.

You have to make sure to get the lowest average from the other 4 so that you will get a higher value on the 5th person.

If the lowest weight is 130 pounds, assume that one student is 130 and then assume that the other three are 135, 140, 145 to have the lowest combination.

You will then get a mean of these four numbers by adding the unknown value of 'x' of the fifth person.
[130 + 135 + 140 + 145 + x]/5  150.4
(550 + x)/5 = 150.4
550 + x = 752
x = 202 pounds