Esther bought some cards. She gave
17 of the cards to her cousin and sold
34 of the remaining cards. After that, she bought another 44 cards and had the same number of cards that she bought at first. How many cards did Esther buy at first?
| Her cousin |
Remaining cards |
Bought cards |
Total |
1x2 =
2 u |
6x2 =
12 u |
|
7x2 =
14 u |
| |
Sold |
Left |
|
|
| |
3x3 |
1x3 |
|
|
| 2 u |
9 u |
3 u |
44 |
|
The remaining number of cards before Esther bought another 44 cards is repeated. Make the remaining number of cards the same. LCM of 6 and 4 is 12.
Total number of cards at first = 14 u
Number of cards that Esther had left and bought after that = 3 u + 44
14 u = 3 u + 44
14 u - 3 u = 44
11 u = 44
1 u = 44 ÷ 11 = 4
Total number of cards at first
= 14 u
= 14 x 4
= 56
Answer(s): 56
