Xylia bought some stamps. She gave
16 of the stamps to her brother and sold
34 of the remaining stamps. After that, she bought another 152 stamps and had the same number of stamps that she bought at first. How many stamps did Xylia buy at first?
| Her brother |
Remaining stamps |
Bought stamps |
Total |
1x4 =
4 u |
5x4 =
20 u |
|
6x4 =
24 u |
| |
Sold |
Left |
|
|
| |
3x5 |
1x5 |
|
|
| 4 u |
15 u |
5 u |
152 |
|
The remaining number of stamps before Xylia bought another 152 stamps is repeated. Make the remaining number of stamps the same. LCM of 5 and 4 is 20.
Total number of stamps at first = 24 u
Number of stamps that Xylia had left and bought after that = 5 u + 152
24 u = 5 u + 152
24 u - 5 u = 152
19 u = 152
1 u = 152 ÷ 19 = 8
Total number of stamps at first
= 24 u
= 24 x 8
= 192
Answer(s): 192
