Sabrina and Tina collected cards. Sabrina gave 25% of her cards to Tina and as a result, Tina's cards increased by 30%. If Sabrina had 45 cards left, find the number of cards Tina should give to Sabrina in the end so that both had an equal number of cards.
| |
Sabrina
|
Tina |
Comparing the change
in Tina'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 Tina had is repeated. Make the increase in the number of cards that Tina had the same. LCM of 1 and 3 = 3
9 u = 45
1 u = 45 ÷ 9 = 5
Number of cards that Tina had more than Sabrina in the end
= 13 u - 9 u
= 4 u
Number of cards that Tina should give to Sabrina so that both had an equal number of cards in the end
= 4 u ÷ 2
= 2 u
= 2 x 5
= 10
Answer(s): 10
