Winnie bought some erasers. She gave
16 of the erasers to her brother and sold
56 of the remaining erasers. After that, she bought another 217 erasers and had the same number of erasers that she bought at first. How many erasers did Winnie buy at first?
Her brother |
Remaining erasers |
Bought erasers |
Total |
1x6 = 6 u |
5x6 = 30 u |
|
6x6 = 36 u |
|
Sold |
Left |
|
|
|
5x5 |
1x5 |
|
|
6 u |
25 u |
5 u |
217 |
|
The remaining number of erasers before Winnie bought another 217 erasers is repeated. Make the remaining number of erasers the same. LCM of 5 and 6 is 30.
Total number of erasers at first = 36 u
Number of erasers that Winnie had left and bought after that = 5 u + 217
36 u = 5 u + 217
36 u - 5 u = 217
31 u = 217
1 u = 217 ÷ 31 = 7
Total number of erasers at first
= 36 u
= 36 x 7
= 252
Answer(s): 252