She spnt $25 and lent one-fifth of the remaining money to a friend.After she deposited two-third of what was left in the bank, she still had $40.

Question

Kim won some money. She spent $25 to have her hair cut. And lent one-fifth of the remaining money to a friend. After she deposited two-third of what was left in the bank, she still had $40. How much money did she win?

Answer 1

Let's call Kim's winnings 

 

After she spent $25 she has X - 25

 

After she lent 1/5 to a friend, (she kept 4/5 of it)

4/5(X - 25) = 4/5X - 20

 

Then she deposited 2/3 in the bank so she kept 1/3:

1/3(4/5X - 20)

 

4/15X - 20/3 =  40

4/15X - 100/15 = 600/15

 

4X - 100 = 600

4X = 700

X = 700/4 = $175

She won $175