Luis had 140 more marbles than Tommy. Luis gave 20% of his marbles to Tommy. Tommy in return gave 50% of his marbles to Luis. In the end, Tommy had 552 less marbles than Luis. How many marbles did Luis have at first?
| |
Luis |
Tommy |
Comparing Luis
and Peter at first |
140 more |
|
| Before |
5 u + 140 |
5 u |
| Change 1 |
- 1 u - 28 |
+ 1 u + 28 |
| After 1 |
4 u + 112 |
6 u + 28 |
| Change 2 |
+ 3 u + 14 |
- 3 u - 14 |
| After 2 |
7 u + 126 |
3 u + 14 |
20% =
20100 =
1520% x 140
=
20100 x 140
= 28
50% x 28
=
50100 x 28
= 14
50% x 6 u
=
50100 x 6 u
= 3 u
Tommy had 552 less marbles than Luis in the end. If another 552 marbles are given to Tommy, both will have the same number of marbles.
7 u + 126 = 3 u + 14 + 552
7 u - 3 u = 14 + 552 - 126
4 u = 440
1 u = 440 ÷ 4 = 40
Number of Tommy's marbles at first
= 5 u
= 5 x 40
= 200
Answer: 200
