Yoko had 64 more cards than Xandra. After Xandra gave away
27 of her cards, Yoko had thrice as many cards as Xandra. How many cards did Xandra have at first?
| |
Yoko |
Xandra |
Comparing Yoko and
Xandra at first |
64 more |
|
| Before |
15 u |
7 u |
| Change |
|
- 2 u |
| After |
15 u |
5 u |
Comparing Yoko and
Xandra in the end |
3x5 =
15 u |
1x5 =
5 u |
Number of cards that Xandra had in the end is repeated. Make the number of cards that Xandra had in the end the same. LCM of 1 and 5 is 5.
Number of cards that Yoko had at first = 15 u
Number of cards that Yoko had more than Xandra at first
= 15 u - 7 u
= 8 u
8 u = 64
1 u = 64 ÷ 8 = 8
Number of cards that Xandra had at first
= 7 u
= 7 x 8
= 56
Answer(s): 56
