Gillian bought some buttons. She gave
14 of the buttons to her sister and sold
25 of the remaining buttons. After that, she bought another 132 buttons and had the same number of buttons that she bought at first. How many buttons did Gillian buy at first?
| Her sister |
Remaining buttons |
Bought buttons |
Total |
1x5 =
5 u |
3x5 =
15 u |
|
4x5 =
20 u |
| |
Sold |
Left |
|
|
| |
2x3 |
3x3 |
|
|
| 5 u |
6 u |
9 u |
132 |
|
The remaining number of buttons before Gillian bought another 132 buttons is repeated. Make the remaining number of buttons the same. LCM of 3 and 5 is 15.
Total number of buttons at first = 20 u
Number of buttons that Gillian had left and bought after that = 9 u + 132
20 u = 9 u + 132
20 u - 9 u = 132
11 u = 132
1 u = 132 ÷ 11 = 12
Total number of buttons at first
= 20 u
= 20 x 12
= 240
Answer(s): 240
