Emily bought some pens. She gave
16 of the pens to her brother and sold
56 of the remaining pens. After that, she bought another 217 pens and had the same number of pens that she bought at first. How many pens did Emily buy at first?
| Her brother |
Remaining pens |
Bought pens |
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 pens before Emily bought another 217 pens is repeated. Make the remaining number of pens the same. LCM of 5 and 6 is 30.
Total number of pens at first = 36 u
Number of pens that Emily 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 pens at first
= 36 u
= 36 x 7
= 252
Answer(s): 252
