Xuan had the same number of white, green and gold buttons at first. After giving some white and green buttons and 56 gold buttons away, Xuan had 248 buttons left. There were 4 times as many white buttons as green buttons left. The number of gold buttons left was 13 fewer than the number of white buttons left. How many gold buttons did she have at first?
| |
Green |
White |
Gold |
Total |
| Before |
4 u + 43 |
4 u + 43 |
4 u + 43 |
|
| Change |
- 3 u - 43 |
- 43 |
- 56 |
|
| After |
1 u |
4 u |
4 u - 13 |
248 |
Xuan had the same number of white, green and gold buttons at first.
Total number of buttons in the end
= 1 u + 4 u + 4 u - 13
= 9 u - 13
9 u - 13 = 248
9 u = 248 + 13
9 u = 261
1 u = 261 ÷ 9 = 29
Number of gold buttons that Xuan had at first
= 4 u - 13 + 56
= 4 u + 43
= 4 x 29 + 43
= 159
Answer(s): 159
