Roshel had the same number of gold, yellow and pink buttons at first. After giving some gold and yellow buttons and 60 pink buttons away, Roshel had 203 buttons left. There were 4 times as many gold buttons as yellow buttons left. The number of pink buttons left was 31 fewer than the number of gold buttons left. How many pink buttons did she have at first?
|
Yellow |
Gold |
Pink |
Total |
Before |
4 u + 29 |
4 u + 29 |
4 u + 29 |
|
Change |
- 3 u - 29 |
- 29 |
- 60 |
|
After |
1 u |
4 u |
4 u - 31 |
203 |
Roshel had the same number of gold, yellow and pink buttons at first.
Total number of buttons in the end
= 1 u + 4 u + 4 u - 31
= 9 u - 31
9 u - 31 = 203
9 u = 203 + 31
9 u = 234
1 u = 234 ÷ 9 = 26
Number of pink buttons that Roshel had at first
= 4 u - 31 + 60
= 4 u + 29
= 4 x 26 + 29
= 133
Answer(s): 133