Diana bought some stickers. She gave
16 of the stickers to her sister and sold
34 of the remaining stickers. After that, she bought another 95 stickers and had the same number of stickers that she bought at first. How many stickers did Diana buy at first?
Her sister |
Remaining stickers |
Bought stickers |
Total |
1x4 = 4 u |
5x4 = 20 u |
|
6x4 = 24 u |
|
Sold |
Left |
|
|
|
3x5 |
1x5 |
|
|
4 u |
15 u |
5 u |
95 |
|
The remaining number of stickers before Diana bought another 95 stickers is repeated. Make the remaining number of stickers the same. LCM of 5 and 4 is 20.
Total number of stickers at first = 24 u
Number of stickers that Diana had left and bought after that = 5 u + 95
24 u = 5 u + 95
24 u - 5 u = 95
19 u = 95
1 u = 95 ÷ 19 = 5
Total number of stickers at first
= 24 u
= 24 x 5
= 120
Answer(s): 120