Darren and Ivan have $652 altogether. 2/5 of Darren's money is $40

more than 2/3 of Ivan's money. How much money does Ivan have?

1 answer

Ivan's amount ----- x
Darren's amount = 652-x

"2/5 of Darren's money is $40
more than 2/3 of Ivan's money"
---> (2/5)(652 - x) - (2/3)x = 40
times 15
6(652-x) - 10x = 600
3912 - 16x = 600
-16x = -3312
x = 207

Ivan has $207

check:
Ivan has 207
Darren has 445
2/5 of Darren's = 178
2/3 of Ivans = 138
is 178 greater than 138 by 40 ??? YES!