Emma had the same number of grey, brown and white buttons at first. After giving some grey and brown buttons and 79 white buttons away, Emma had 176 buttons left. There were 5 times as many grey buttons as brown buttons left. The number of white buttons left was 22 fewer than the number of grey buttons left. How many white buttons did she have at first?
| |
Brown |
Grey |
White |
Total |
| Before |
5 u + 57 |
5 u + 57 |
5 u + 57 |
|
| Change |
- 4 u - 57 |
- 57 |
- 79 |
|
| After |
1 u |
5 u |
5 u - 22 |
176 |
Emma had the same number of grey, brown and white buttons at first.
Total number of buttons in the end
= 1 u + 5 u + 5 u - 22
= 11 u - 22
11 u - 22 = 176
11 u = 176 + 22
11 u = 198
1 u = 198 ÷ 11 = 18
Number of white buttons that Emma had at first
= 5 u - 22 + 79
= 5 u + 57
= 5 x 18 + 57
= 147
Answer(s): 147
