Xandra bought some stickers. She gave
15 of the stickers to her cousin and sold
35 of the remaining stickers. After that, she bought another 51 stickers and had the same number of stickers that she bought at first. How many stickers did Xandra buy at first?
Her cousin |
Remaining stickers |
Bought stickers |
Total |
1x5 = 5 u |
4x5 = 20 u |
|
5x5 = 25 u |
|
Sold |
Left |
|
|
|
3x4 |
2x4 |
|
|
5 u |
12 u |
8 u |
51 |
|
The remaining number of stickers before Xandra bought another 51 stickers is repeated. Make the remaining number of stickers the same. LCM of 4 and 5 is 20.
Total number of stickers at first = 25 u
Number of stickers that Xandra had left and bought after that = 8 u + 51
25 u = 8 u + 51
25 u - 8 u = 51
17 u = 51
1 u = 51 ÷ 17 = 3
Total number of stickers at first
= 25 u
= 25 x 3
= 75
Answer(s): 75