Penelope bought some stickers. She gave
13 of the stickers to her brother and sold
25 of the remaining stickers. After that, she bought another 27 stickers and had the same number of stickers that she bought at first. How many stickers did Penelope buy at first?
Her brother |
Remaining stickers |
Bought stickers |
Total |
1x5 = 5 u |
2x5 = 10 u |
|
3x5 = 15 u |
|
Sold |
Left |
|
|
|
2x2 |
3x2 |
|
|
5 u |
4 u |
6 u |
27 |
|
The remaining number of stickers before Penelope bought another 27 stickers is repeated. Make the remaining number of stickers the same. LCM of 2 and 5 is 10.
Total number of stickers at first = 15 u
Number of stickers that Penelope had left and bought after that = 6 u + 27
15 u = 6 u + 27
15 u - 6 u = 27
9 u = 27
1 u = 27 ÷ 9 = 3
Total number of stickers at first
= 15 u
= 15 x 3
= 45
Answer(s): 45