Roshel and Penelope collected cards. Roshel gave 20% of her cards to Penelope. As a result, Penelope's cards increased by 80%. If Roshel had 48 cards left, find the total number of cards the two girls had at first.
| |
Roshel |
Penelope |
Comparing the change
in Penelope's cards |
| Before |
5x4 =
20 u |
|
5x1 =
5 u |
| Change |
- 1x4 =
- 4 u |
+ 1x4 =
+ 4 u |
+ 4x1 =
+ 4 u |
| After |
4x4 =
16 u |
|
9x1 =
9 u |
20% =
20100 =
15 80% =
80100 =
45 The number of cards that Roshel gave to Penelope is repeated. Make the number of cards that Roshel gave to Penelope the same. LCM of 1 and 4 is 4.
Number of cards that Roshel had in the end = 16 u
16 u = 48
1 u = 48 ÷ 16 = 3
Number of cards that Roshel and Penelope had at first
= 20 u + 5 u
= 25 u
= 25 x 3
= 75
Answer(s): 75
