Sarah and Emily collected cards. Sarah gave 60% of her cards to Emily and as a result, Emily's cards increased by 20%. If Sarah had 12 cards left, find the number of cards Emily should give to Sarah in the end so that both had an equal number of cards.
| |
Sarah
|
Emily |
Comparing the change
in Emily'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 Emily had is repeated. Make the increase in the number of cards that Emily had the same. LCM of 3 and 1 = 3
2 u = 12
1 u = 12 ÷ 2 = 6
Number of cards that Emily had more than Sarah in the end
= 18 u - 2 u
= 16 u
Number of cards that Emily should give to Sarah so that both had an equal number of cards in the end
= 16 u ÷ 2
= 8 u
= 8 x 6
= 48
Answer(s): 48
