Xylia bought some buttons. She gave
16 of the buttons to her brother and sold
34 of the remaining buttons. After that, she bought another 38 buttons and had the same number of buttons that she bought at first. How many buttons did Xylia buy at first?
| Her brother |
Remaining buttons |
Bought buttons |
Total |
1x4 =
4 u |
5x4 =
20 u |
|
6x4 =
24 u |
| |
Sold |
Left |
|
|
| |
3x5 |
1x5 |
|
|
| 4 u |
15 u |
5 u |
38 |
|
The remaining number of buttons before Xylia bought another 38 buttons is repeated. Make the remaining number of buttons the same. LCM of 5 and 4 is 20.
Total number of buttons at first = 24 u
Number of buttons that Xylia had left and bought after that = 5 u + 38
24 u = 5 u + 38
24 u - 5 u = 38
19 u = 38
1 u = 38 ÷ 19 = 2
Total number of buttons at first
= 24 u
= 24 x 2
= 48
Answer(s): 48
