Yen and Erika collected cards. Yen gave 60% of her cards to Erika and as a result, Erika's cards increased by 20%. If Yen had 18 cards left, find the number of cards Erika should give to Yen in the end so that both had an equal number of cards.
| |
Yen
|
Erika |
Comparing the change
in Erika's cards
|
|
Before
|
5x1 =
5 u |
|
5x3 =
15u |
|
Change
|
- 3x1 =
- 3 u
|
+ 3x1 =
+ 3 u
|
+ 1x3 =
+ 3 u
|
|
After
|
2x1 =
2 u
|
|
6x3 =
18 u |
60% =
60100 =
3520% =
20100 =
15The increase in the number of cards that Erika had is repeated. Make the increase in the number of cards that Erika had the same. LCM of 3 and 1 = 3
2 u = 18
1 u = 18 ÷ 2 = 9
Number of cards that Erika had more than Yen in the end
= 18 u - 2 u
= 16 u
Number of cards that Erika should give to Yen so that both had an equal number of cards in the end
= 16 u ÷ 2
= 8 u
= 8 x 9
= 72
Answer(s): 72
