Gem and Raeann collected cards. Gem gave 50% of her cards to Raeann and as a result, Raeann's cards increased by 30%. If Gem had 33 cards left, find the number of cards Raeann should give to Gem in the end so that both had an equal number of cards.
| |
Gem
|
Raeann |
Comparing the change
in Raeann'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 Raeann had is repeated. Make the increase in the number of cards that Raeann had the same. LCM of 1 and 3 = 3
3 u = 33
1 u = 33 ÷ 3 = 11
Number of cards that Raeann had more than Gem in the end
= 13 u - 3 u
= 10 u
Number of cards that Raeann should give to Gem so that both had an equal number of cards in the end
= 10 u ÷ 2
= 5 u
= 5 x 11
= 55
Answer(s): 55
