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