Shiyun and Xuan collected cards. Shiyun gave 50% of her cards to Xuan and as a result, Xuan's cards increased by 30%. If Shiyun had 18 cards left, find the number of cards Xuan should give to Shiyun in the end so that both had an equal number of cards.
| |
Shiyun
|
Xuan |
Comparing the change
in Xuan's cards
|
|
Before
|
2x3 =
6 u |
|
10x1 =
10u |
|
Change
|
- 1x3 =
- 3 u
|
+ 1x3 =
+ 3 u
|
+ 3x1 =
+ 3 u
|
|
After
|
1x3 =
3 u
|
|
13x1 =
13 u |
50% =
50100 =
1230% =
30100 =
310The increase in the number of cards that Xuan had is repeated. Make the increase in the number of cards that Xuan had the same. LCM of 1 and 3 = 3
3 u = 18
1 u = 18 ÷ 3 = 6
Number of cards that Xuan had more than Shiyun in the end
= 13 u - 3 u
= 10 u
Number of cards that Xuan should give to Shiyun so that both had an equal number of cards in the end
= 10 u ÷ 2
= 5 u
= 5 x 6
= 30
Answer(s): 30
