Winnie bought some cards. She gave
17 of the cards to her brother and sold
35 of the remaining cards. After that, she bought another 69 cards and had the same number of cards that she bought at first. How many cards did Winnie buy at first?
| Her brother |
Remaining cards |
Bought cards |
Total |
1x5 =
5 u |
6x5 =
30 u |
|
7x5 =
35 u |
| |
Sold |
Left |
|
|
| |
3x6 |
2x6 |
|
|
| 5 u |
18 u |
12 u |
69 |
|
The remaining number of cards before Winnie bought another 69 cards is repeated. Make the remaining number of cards the same. LCM of 6 and 5 is 30.
Total number of cards at first = 35 u
Number of cards that Winnie had left and bought after that = 12 u + 69
35 u = 12 u + 69
35 u - 12 u = 69
23 u = 69
1 u = 69 ÷ 23 = 3
Total number of cards at first
= 35 u
= 35 x 3
= 105
Answer(s): 105
