Penelope had 20 more cards than Eva. After Eva gave away
37 of her cards, Penelope had thrice as many cards as Eva. How many cards did Eva have at first?
| |
Penelope |
Eva |
Comparing Penelope and
Eva at first |
20 more |
|
| Before |
12 u |
7 u |
| Change |
|
- 3 u |
| After |
12 u |
4 u |
Comparing Penelope and
Eva in the end |
3x4 =
12 u |
1x4 =
4 u |
Number of cards that Eva had in the end is repeated. Make the number of cards that Eva had in the end the same. LCM of 1 and 4 is 4.
Number of cards that Penelope had at first = 12 u
Number of cards that Penelope had more than Eva at first
= 12 u - 7 u
= 5 u
5 u = 20
1 u = 20 ÷ 5 = 4
Number of cards that Eva had at first
= 7 u
= 7 x 4
= 28
Answer(s): 28
