Diana bought some stamps. She gave
15 of the stamps to her brother and sold
35 of the remaining stamps. After that, she bought another 187 stamps and had the same number of stamps that she bought at first. How many stamps did Diana buy at first?
Her brother |
Remaining stamps |
Bought stamps |
Total |
1x5 = 5 u |
4x5 = 20 u |
|
5x5 = 25 u |
|
Sold |
Left |
|
|
|
3x4 |
2x4 |
|
|
5 u |
12 u |
8 u |
187 |
|
The remaining number of stamps before Diana bought another 187 stamps is repeated. Make the remaining number of stamps the same. LCM of 4 and 5 is 20.
Total number of stamps at first = 25 u
Number of stamps that Diana had left and bought after that = 8 u + 187
25 u = 8 u + 187
25 u - 8 u = 187
17 u = 187
1 u = 187 ÷ 17 = 11
Total number of stamps at first
= 25 u
= 25 x 11
= 275
Answer(s): 275