Eva had 16 more cards than Fanny. After Fanny gave away
47 of her cards, Eva had five times as many cards as Fanny. How many cards did Fanny have at first?
| |
Eva |
Fanny |
Comparing Eva and
Fanny at first |
16 more |
|
| Before |
15 u |
7 u |
| Change |
|
- 4 u |
| After |
15 u |
3 u |
Comparing Eva and
Fanny in the end |
5x3 =
15 u |
1x3 =
3 u |
Number of cards that Fanny had in the end is repeated. Make the number of cards that Fanny had in the end the same. LCM of 1 and 3 is 3.
Number of cards that Eva had at first = 15 u
Number of cards that Eva had more than Fanny at first
= 15 u - 7 u
= 8 u
8 u = 16
1 u = 16 ÷ 8 = 2
Number of cards that Fanny had at first
= 7 u
= 7 x 2
= 14
Answer(s): 14
