Final answer:
Working backward from the $120 after Mr. Eddy gave money to his children, it is determined that he initially had $400.
Step-by-step explanation:
To determine how much money Mr. Eddy had initially, we need to work backward from the $120 he had left after giving money to his daughter and son.
First, he gave 0.4 of his initial money to his daughter. Then, Mr. Eddy had 60% of his money left. After that, he gave 0.5 of the remainder to his son, which means he was left with 50% of the remaining 60%. Since 50% of 60% is 30%, the $120 represents this final 30% of the original amount.
To find the original amount, we calculate:
Original Money = $120 / 30% = $120 / 0.3 = $400
Therefore, Mr. Eddy initially had $400.