Seth, Vincent and Perry had some marbles. Vincent had 80% less marbles than Seth. Vincent had
25 of Perry's. After Seth gave 49 marbles to Vincent, he had
13 of what Vincent had. How many more marbles did Perry have than Seth in the end?
Seth |
Vincent |
Perry |
5x2 |
1x2 |
|
|
2x1 |
5x1 |
10 |
2 |
5 |
|
Perry |
Seth |
Vincent |
Total marbles of Seth and Vincent |
Before |
5x1 = 5 u |
10x1 = 10 u |
2x1 = 2 u |
12x1 = 12 u |
Change |
|
- 49 |
+ 49 |
|
After |
5 u |
1x3 = 3 u |
3x3 = 9 u |
4x3 = 12 u |
Number of marbles that Vincent had less than Seth at first in percent
= 100% - 80%
= 20%
20% =
20100 =
15 Seth : Vincent = 5 : 1
The number of marbles that Vincent had at first is repeated. Make the number of marbles that Vincent had at first the same. LCM of 1 and 2 is 2.
When Seth gave 49 marbles to Vincent, the total number of marbles that Vincent and Seth had at first and in the end remains the same. Make the total number of marbles that Vincent and Seth had the same. LCM of 12 and 4 is 12.
Number of marbles that Seth gave to Vincent
= 10 u - 3 u
= 7 u
7 u = 49
1 u = 49 ÷ 7 = 7
Number of marbles that Perry had more than Seth in the end
= 5 u - 3 u
= 2 u
= 2 x 7
= 14
Answer(s): 14