SOLUTION: Gordan and Harry had 340 marbles altogether. After Gordan gave away {{{2/5}}} of his marbles and Harry gave away 20 of his marbles, they had the same number of marbles left. How ma

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Gordan and Harry had 340 marbles altogether. After Gordan gave away {{{2/5}}} of his marbles and Harry gave away 20 of his marbles, they had the same number of marbles left. How ma      Log On


   

Question 1184677: Gordan and Harry had 340 marbles altogether. After Gordan gave away 2%2F5 of his marbles and Harry gave away 20 of his marbles, they had the same number of marbles left. How many marbles did Harry have in the end?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
If Gordan had x marbles at the start, then Harry had 340 - x marbles initially.

After Gordan gave away 2/5 of his marbles, he would have %283x%29%2F5 remaining. Harry gave away 20 of his marbles, so he has 320 - x afterwards.

Then from the given, %283x%29%2F5+=+320+-+x ===> x = 200, the number of marbles Gordan had at the beginning. ===> Harry had 140 marbles at the beginning.

===> Harry had 120 marbles in the end.