Bo paid bills with 1/2 of his paycheck snd put 1/5 of the remainder in savings. the rest of his paycheck he divided equally among the college accounts of his 3 children.
a. what fraction of his paycheck went into each childs account?
b. if bo deposited $400 in each childs account, how much money was in bo's original paycheck?

1/2 + 1/5(1/2) = 1/2 + 1/10 = 5/10 + 1/10 = 6/10this leaves 4/10 (reduces to 2/5) for his children.

(2/5) / 3 = 2/5 * 1/3 = 2/15 for each child <== A

400 in each childs accountthats (400 * 3) = 1200 ...
2/5 of what is 1200 =
2/5x = 1200
x = 1200 * 5/2
x = 6000/2
x = 3000 <== B

check...
total pay is 3000
1/2 for bills- 1500
1/5(-1500) = -1500/5 = -300 for savings
3000 - (1500 + 300) = 3000 - 1800 = 1200...remaining for the children
1200/3 = 400 ...for each child.

so ur answers are :
A. 2/15 in each childs account
B. original paycheck = $ 3000