Xuan bought some cards. She gave
16 of the cards to her sister and sold
56 of the remaining cards. After that, she bought another 93 cards and had the same number of cards that she bought at first. How many cards did Xuan buy at first?
| Her sister |
Remaining cards |
Bought cards |
Total |
1x6 =
6 u |
5x6 =
30 u |
|
6x6 =
36 u |
| |
Sold |
Left |
|
|
| |
5x5 |
1x5 |
|
|
| 6 u |
25 u |
5 u |
93 |
|
The remaining number of cards before Xuan bought another 93 cards is repeated. Make the remaining number of cards the same. LCM of 5 and 6 is 30.
Total number of cards at first = 36 u
Number of cards that Xuan had left and bought after that = 5 u + 93
36 u = 5 u + 93
36 u - 5 u = 93
31 u = 93
1 u = 93 ÷ 31 = 3
Total number of cards at first
= 36 u
= 36 x 3
= 108
Answer(s): 108
