Emily bought some erasers. She gave
15 of the erasers to her brother and sold
56 of the remaining erasers. After that, she bought another 52 erasers and had the same number of erasers that she bought at first. How many erasers did Emily buy at first?
Her brother |
Remaining erasers |
Bought erasers |
Total |
1x3 = 3 u |
4x3 = 12 u |
|
5x3 = 15 u |
|
Sold |
Left |
|
|
|
5x2 |
1x2 |
|
|
3 u |
10 u |
2 u |
52 |
|
The remaining number of erasers before Emily bought another 52 erasers is repeated. Make the remaining number of erasers the same. LCM of 4 and 6 is 12.
Total number of erasers at first = 15 u
Number of erasers that Emily had left and bought after that = 2 u + 52
15 u = 2 u + 52
15 u - 2 u = 52
13 u = 52
1 u = 52 ÷ 13 = 4
Total number of erasers at first
= 15 u
= 15 x 4
= 60
Answer(s): 60