Wendy bought some erasers. She gave
17 of the erasers to her cousin and sold
25 of the remaining erasers. After that, she bought another 51 erasers and had the same number of erasers that she bought at first. How many erasers did Wendy buy at first?
| Her cousin |
Remaining erasers |
Bought erasers |
Total |
1x5 =
5 u |
6x5 =
30 u |
|
7x5 =
35 u |
| |
Sold |
Left |
|
|
| |
2x6 |
3x6 |
|
|
| 5 u |
12 u |
18 u |
51 |
|
The remaining number of erasers before Wendy bought another 51 erasers is repeated. Make the remaining number of erasers the same. LCM of 6 and 5 is 30.
Total number of erasers at first = 35 u
Number of erasers that Wendy had left and bought after that = 18 u + 51
35 u = 18 u + 51
35 u - 18 u = 51
17 u = 51
1 u = 51 ÷ 17 = 3
Total number of erasers at first
= 35 u
= 35 x 3
= 105
Answer(s): 105
