Flynn has 30% as many coins as Ivan. If Flynn gives away 25% of the coins and Ivan gives away 60% of his coins, they will have 100 coins altogether. How many coins do the two of them have?
|
Flynn |
Ivan |
Total |
Comparing Flynn and Ivan at first |
3x4 = 12 u |
10x4 = 40 u |
|
Before |
4x3 = 12 u |
5x8 = 40 u |
|
Change |
- 1x3 = - 3 u |
- 3x8 = - 24 u |
|
After |
3x3 = 9 u |
2x8 = 16 u |
100 |
30% =
30100 =
310 25% =
25100 =
14 60% =
60100 =
35 The number of coins that Flynn has at first is repeated. Make the number of coins that Flynn has the same. LCM of 3 and 4 is 12 u.
The number of coins that Ivan has at first is repeated. Make the number of coins that Ivan has the same. LCM of 10 and 5 is 40 u.
Number of coins in the end
= 9 u + 16 u
= 25 u
25 u = 100
1 u = 100 ÷ 25 = 4
Total number of coins that the two of them have
= 12 u + 40 u
= 52 u
= 52 x 4
= 208
Answer(s): 208