Irene bought some buttons. She gave
14 of the buttons to her cousin and sold
35 of the remaining buttons. After that, she bought another 154 buttons and had the same number of buttons that she bought at first. How many buttons did Irene buy at first?
| Her cousin |
Remaining buttons |
Bought buttons |
Total |
1x5 =
5 u |
3x5 =
15 u |
|
4x5 =
20 u |
| |
Sold |
Left |
|
|
| |
3x3 |
2x3 |
|
|
| 5 u |
9 u |
6 u |
154 |
|
The remaining number of buttons before Irene bought another 154 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 Irene had left and bought after that = 6 u + 154
20 u = 6 u + 154
20 u - 6 u = 154
14 u = 154
1 u = 154 ÷ 14 = 11
Total number of buttons at first
= 20 u
= 20 x 11
= 220
Answer(s): 220
