Answer:
20 ladies
30 gents
Step-by-step explanation:
Let :
x = number of ladies
50 - x = number of gents
total weight of the ladies = 40x
total weight of the gents = 50(50 - x) = 2500 - 50x
Average weight : (40x +2500 - 50x) / 50 = 46
cross multiply
2500 - 10x = 2300
combine like terms
2500 - 2300 = 10x
200 = 10x
x = 20 = number of ladies
Number of men = 50 - 20 = 30