Dan → 4 parts
Ray → 3 parts

Dan spent ¼ → 1 part
Amount Dan has left = 3 parts

Ray spent ⅔ → 2 parts
Amount Ray has left = 1 parts

Dan's 3 parts = 2 x Ray's 1 part
= Ray's 2 parts


Since they are the same amount, we make the parts the same.

Dan's 3 parts x 2 = 6
Ray's 2 parts x 3 = 6

So Dan has 6 parts left.

Since that is twice of what Ray has left,
Ray has 6 ÷ 2 = 3 parts left

Amount Dan had at first = 4 parts x 2
= 8 parts

Amount Ray has at first = 3 parts x 3 = 9 parts.

Total = 9 + 8 = 17 parts

17 parts = $340

1 part = $340 ÷ 17 = $20

Amount Dan had left
= 6 parts
= $20 x 6
= $120

Sorry. I cannot related your reply to the answer. Am i missing something?

Was still in the process of typing when it was posted accidentally. Check it out again.

Thks. Took me very long to understand

Or you can see it in terms of fractions

Dan has ¾ of his money left after spending.
Ray has ⅓ of his money left after spending.

Dan's ¾ = 2 x ⅓ of Ray's

Dan's ¾ = ⅔ Ray's

Now, since they are equal, the idea is to make the numerator the same.

¾ → 6/8
⅔ → 6/9

So you can see that Dan has 8 units and Ray has 9 units at first.