Bruce and Cruz had 294 bookmarks altogether. Bruce gave away 3/8 of his bookmarks and Cruz gave away 2/5 of his bookmarks. They then have the same number of bookmarks left. What is the ratio of the number of Bruce's bookmarks to the number of Cruz's bookmarks? How many bookmarks did Cruz give away?
If Bruce had x, Cruz had y, than.
x(1-3/8) = y (1-2/5)
5/8x = 3/5y
x = 3/5 * 8/5y = 24/25y
x+y = 24/25y + y = 294 => y = 150 x = 144
y * 2/5 = 150 * 2/5 = 60
x : y = 144 : 150 = 24 : 25
So the ratio of Bruce's bookmarks to Cruz's is 24:25
Cruz give away 60 bookmarks.
I think this is the answer. Sorry if it is wrong