Fanny and Elyse collected cards. Fanny gave 50% of her cards to Elyse and as a result, Elyse's cards increased by 30%. If Fanny had 27 cards left, find the number of cards Elyse should give to Fanny in the end so that both had an equal number of cards.
| |
Fanny
|
Elyse |
Comparing the change
in Elyse'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 Elyse had is repeated. Make the increase in the number of cards that Elyse had the same. LCM of 1 and 3 = 3
3 u = 27
1 u = 27 ÷ 3 = 9
Number of cards that Elyse had more than Fanny in the end
= 13 u - 3 u
= 10 u
Number of cards that Elyse should give to Fanny so that both had an equal number of cards in the end
= 10 u ÷ 2
= 5 u
= 5 x 9
= 45
Answer(s): 45
