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Answer

FACTS:
1. Devi took $100 more than Alex
2. Alex took $30 more than "1/4 of the money"

The "1/4 of the money" suggests that we let the total money be 4u.
Then "1/4 of the money" is just u. So

    Alex    30 + u         (Fact 2)
    Devi    30 + u + 100   (Fact 1)
    TOTAL   4u             (because we let the total money be 4u)

So 4u = (30 + u) + (30 + u + 100) = 2u + 160.
So 2u = 160 and 4u = 320.

Thus the sum of money is $320.

 

1 Reply 2 Likes ✔Accepted Answer

Thanks for the great explanation!

0 Replies 1 Like