Tim had some money at first

He spent 20% of it on a shirt. After that, he received $50 from his mother.
He then spent 60% of what he had then on a book. The cost of the book was $40 more than the money his mother gave him. How much money did Tim have at first?

(1) $ 100
(2) $ 125
(3) $ 150
(4) $ 175

2 answers

(3) $150
The bot is wrong again.

cost of book = 40+50 = 90

original amount tim had = x
after buying shirt head .8x left
mom gave him 50, so now he has .8x + 50
spent 60% of (.8x +50) , but we know that is 90
.6(.8x + 50) = 90
.48x + 30 = 90
.48x = 60
x = 60/.48 = 125