Gillian bought some cards. She gave
14 of the cards to her brother and sold
35 of the remaining cards. After that, she bought another 98 cards and had the same number of cards that she bought at first. How many cards did Gillian buy at first?
| Her brother |
Remaining cards |
Bought cards |
Total |
1x5 =
5 u |
3x5 =
15 u |
|
4x5 =
20 u |
| |
Sold |
Left |
|
|
| |
3x3 |
2x3 |
|
|
| 5 u |
9 u |
6 u |
98 |
|
The remaining number of cards before Gillian bought another 98 cards is repeated. Make the remaining number of cards the same. LCM of 3 and 5 is 15.
Total number of cards at first = 20 u
Number of cards that Gillian had left and bought after that = 6 u + 98
20 u = 6 u + 98
20 u - 6 u = 98
14 u = 98
1 u = 98 ÷ 14 = 7
Total number of cards at first
= 20 u
= 20 x 7
= 140
Answer(s): 140
