Diana bought some cards. She gave
14 of the cards to her sister and sold
34 of the remaining cards. After that, she bought another 91 cards and had the same number of cards that she bought at first. How many cards did Diana buy at first?
| Her sister |
Remaining cards |
Bought cards |
Total |
1x4 =
4 u |
3x4 =
12 u |
|
4x4 =
16 u |
| |
Sold |
Left |
|
|
| |
3x3 |
1x3 |
|
|
| 4 u |
9 u |
3 u |
91 |
|
The remaining number of cards before Diana bought another 91 cards is repeated. Make the remaining number of cards the same. LCM of 3 and 4 is 12.
Total number of cards at first = 16 u
Number of cards that Diana had left and bought after that = 3 u + 91
16 u = 3 u + 91
16 u - 3 u = 91
13 u = 91
1 u = 91 ÷ 13 = 7
Total number of cards at first
= 16 u
= 16 x 7
= 112
Answer(s): 112
