Lucy had 84 more cards than Gem. After Gem gave away
13 of her cards, Lucy had five times as many cards as Gem. How many cards did Gem have at first?
| |
Lucy |
Gem |
Comparing Lucy and
Gem at first |
84 more |
|
| Before |
10 u |
3 u |
| Change |
|
- 1 u |
| After |
10 u |
2 u |
Comparing Lucy and
Gem in the end |
5x2 =
10 u |
1x2 =
2 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 2 is 2.
Number of cards that Lucy had at first = 10 u
Number of cards that Lucy had more than Gem at first
= 10 u - 3 u
= 7 u
7 u = 84
1 u = 84 ÷ 7 = 12
Number of cards that Gem had at first
= 3 u
= 3 x 12
= 36
Answer(s): 36
