Lucy and Cathy collected cards. Lucy gave 30% of her cards to Cathy and as a result, Cathy's cards increased by 25%. If Lucy had 70 cards left, find the number of cards Cathy should give to Lucy in the end so that both had an equal number of cards.
| |
Lucy
|
Cathy |
Comparing the change
in Cathy's cards
|
|
Before
|
10x1 =
10 u |
|
4x3 =
12u |
|
Change
|
- 3x1 =
- 3 u
|
+ 3x1 =
+ 3 u
|
+ 1x3 =
+ 3 u
|
|
After
|
7x1 =
7 u
|
|
5x3 =
15 u |
30% =
30100 =
31025% =
25100 =
14The increase in the number of cards that Cathy had is repeated. Make the increase in the number of cards that Cathy had the same. LCM of 3 and 1 = 3
7 u = 70
1 u = 70 ÷ 7 = 10
Number of cards that Cathy had more than Lucy in the end
= 15 u - 7 u
= 8 u
Number of cards that Cathy should give to Lucy so that both had an equal number of cards in the end
= 8 u ÷ 2
= 4 u
= 4 x 10
= 40
Answer(s): 40
