Anna and Dana collected cards. Anna gave 25% of her cards to Dana and as a result, Dana's cards increased by 30%. If Anna had 54 cards left, find the number of cards Dana should give to Anna in the end so that both had an equal number of cards.
| |
Anna
|
Dana |
Comparing the change
in Dana's cards
|
|
Before
|
4x3 =
12 u |
|
10x1 =
10u |
|
Change
|
- 1x3 =
- 3 u
|
+ 1x3 =
+ 3 u
|
+ 3x1 =
+ 3 u
|
|
After
|
3x3 =
9 u
|
|
13x1 =
13 u |
25% =
25100 =
1430% =
30100 =
310The increase in the number of cards that Dana had is repeated. Make the increase in the number of cards that Dana had the same. LCM of 1 and 3 = 3
9 u = 54
1 u = 54 ÷ 9 = 6
Number of cards that Dana had more than Anna in the end
= 13 u - 9 u
= 4 u
Number of cards that Dana should give to Anna so that both had an equal number of cards in the end
= 4 u ÷ 2
= 2 u
= 2 x 6
= 12
Answer(s): 12
