Answer:
Boys(B) + Girls(G) = 85 ----(1)
Mangoes = 380
Each boy gets 4mangoes
Each girl gets 5mangoes
4B + 5G = 380 -------(2)
from (1) B = 85 - G
Substitute B in (2)
4(85 - G) + 5G = 380
360 - 4G + 5G = 380
G = 380 - 360 = 20
from (1) B = 85 - 20 = 65
Therefore number of boys = 65 and girls = 20
Ratio of boys and girls = 65 : 20 = 13 : 4