Gem and Jean collected cards. Gem gave 30% of her cards to Jean and as a result, Jean's cards increased by 10%. If Gem had 56 cards left, find the number of cards Jean should give to Gem in the end so that both had an equal number of cards.
| |
Gem
|
Jean |
Comparing the change
in Jean's cards
|
|
Before
|
10x1 =
10 u |
|
10x3 =
30u |
|
Change
|
- 3x1 =
- 3 u
|
+ 3x1 =
+ 3 u
|
+ 1x3 =
+ 3 u
|
|
After
|
7x1 =
7 u
|
|
11x3 =
33 u |
30% =
30100 =
31010% =
10100 =
110The increase in the number of cards that Jean had is repeated. Make the increase in the number of cards that Jean had the same. LCM of 3 and 1 = 3
7 u = 56
1 u = 56 ÷ 7 = 8
Number of cards that Jean had more than Gem in the end
= 33 u - 7 u
= 26 u
Number of cards that Jean should give to Gem so that both had an equal number of cards in the end
= 26 u ÷ 2
= 13 u
= 13 x 8
= 104
Answer(s): 104
