Gillian bought some stamps. She gave
14 of the stamps to her brother and sold
34 of the remaining stamps. After that, she bought another 65 stamps and had the same number of stamps that she bought at first. How many stamps did Gillian buy at first?
Her brother |
Remaining stamps |
Bought stamps |
Total |
1x4 = 4 u |
3x4 = 12 u |
|
4x4 = 16 u |
|
Sold |
Left |
|
|
|
3x3 |
1x3 |
|
|
4 u |
9 u |
3 u |
65 |
|
The remaining number of stamps before Gillian bought another 65 stamps is repeated. Make the remaining number of stamps the same. LCM of 3 and 4 is 12.
Total number of stamps at first = 16 u
Number of stamps that Gillian had left and bought after that = 3 u + 65
16 u = 3 u + 65
16 u - 3 u = 65
13 u = 65
1 u = 65 ÷ 13 = 5
Total number of stamps at first
= 16 u
= 16 x 5
= 80
Answer(s): 80