Rachel bought some pens. She gave
13 of the pens to her sister and sold
35 of the remaining pens. After that, she bought another 132 pens and had the same number of pens that she bought at first. How many pens did Rachel buy at first?
| Her sister |
Remaining pens |
Bought pens |
Total |
1x5 =
5 u |
2x5 =
10 u |
|
3x5 =
15 u |
| |
Sold |
Left |
|
|
| |
3x2 |
2x2 |
|
|
| 5 u |
6 u |
4 u |
132 |
|
The remaining number of pens before Rachel bought another 132 pens is repeated. Make the remaining number of pens the same. LCM of 2 and 5 is 10.
Total number of pens at first = 15 u
Number of pens that Rachel had left and bought after that = 4 u + 132
15 u = 4 u + 132
15 u - 4 u = 132
11 u = 132
1 u = 132 ÷ 11 = 12
Total number of pens at first
= 15 u
= 15 x 12
= 180
Answer(s): 180
