Mark, George and Harry had some marbles. George had 80% more marbles than Mark. George had
27 of Harry's. After Mark gave 12 marbles to George, he had
13 of what George had. How many more marbles did Harry have than George in the end?
Mark |
George |
Harry |
5x2 |
9x2 |
|
|
2x9 |
7x9 |
10 |
18 |
63 |
|
Harry |
Mark |
George |
Total marbles of Mark and George |
Before |
63x1 = 63 u |
10x1 = 10 u |
18x1 = 18 u |
28x1 = 28 u |
Change |
|
- 12 |
+ 12 |
|
After |
63 u |
1x7 = 7 u |
3x7 = 21 u |
4x7 = 28 u |
Number of marbles that George had more than Mark at first in percent
= 100%+ 80%
= 180%
180% =
180100 =
95 Mark : George = 5 : 9
The number of marbles that George had at first is repeated. Make the number of marbles that George had at first the same. LCM of 9 and 2 is 18.
When Mark gave 12 marbles to George, the total number of marbles that George and Mark had at first and in the end remains the same. Make the total number of marbles that George and Mark had the same. LCM of 28 and 4 is 28.
Number of marbles that Mark gave to George
= 10 u - 7 u
= 3 u
3 u = 12
1 u = 12 ÷ 3 = 4
Number of marbles that Harry had more than George in the end
= 63 u - 21 u
= 42 u
= 42 x 4
= 168
Answer(s): 168