Penelope and Raeann collected cards. Raeann gave 75% of her cards to Penelope. As a result, Penelope's cards increased by 25%. If Penelope had 150 cards left, find the total number of cards the two girls had at first.
| |
Comparing the change
in Raeann's cards |
Raeann |
Penelope |
| Before |
4x1 =
4 u |
|
4x3 =
12 u |
| Change |
- 3x1 =
- 3 u |
- 1x3 =
- 3 u |
+ 1x3 =
+ 3 u |
| After |
1x1 =
1 u |
|
5x3 =
15 u |
75% =
75100 =
34 25% =
25100 =
14 The number of cards that Penelope gave to Raeann is repeated. Make the number of cards that Penelope gave to Raeann the same. LCM of 1 and 3 is 3.
Number of cards that Penelope had in the end = 15 u
15 u = 150
1 u = 150 ÷ 15 = 10
Number of cards that Raeann and Penelope had at first
= 4 u + 12 u
= 16 u
= 16 x 10
= 160
Answer(s): 160
