Sam has $1,000 to be distributed among two groups equally. Later the first part is divided among five children and second part is divided among two brothers. Give the expression that represents how the money distribution between two groups dispersed.

Let x be the money distributed to the first group and y be the money distributed to the second group.

Then, x + y = 1000

Let c be the money distributed to one child in the first group and b be the money distributed to one brother in the second group.

Then, x = 5c and y = 2b

Hence 5c + 2b = 1000.