Raeann had the same number of red, black and grey buttons at first. After giving some red and black buttons and 68 grey buttons away, Raeann had 177 buttons left. There were 5 times as many red buttons as black buttons left. The number of grey buttons left was 43 fewer than the number of red buttons left. How many grey buttons did she have at first?
| |
Black |
Red |
Grey |
Total |
| Before |
5 u + 25 |
5 u + 25 |
5 u + 25 |
|
| Change |
- 4 u - 25 |
- 25 |
- 68 |
|
| After |
1 u |
5 u |
5 u - 43 |
177 |
Raeann had the same number of red, black and grey buttons at first.
Total number of buttons in the end
= 1 u + 5 u + 5 u - 43
= 11 u - 43
11 u - 43 = 177
11 u = 177 + 43
11 u = 220
1 u = 220 ÷ 11 = 20
Number of grey buttons that Raeann had at first
= 5 u - 43 + 68
= 5 u + 25
= 5 x 20 + 25
= 125
Answer(s): 125
