Sabrina had the same number of pink, gold and black cards at first. After giving some pink and gold cards and 59 black cards away, Sabrina had 217 cards left. There were 2 times as many pink cards as gold cards left. The number of black cards left was 28 fewer than the number of pink cards left. How many black cards did she have at first?
| |
Gold |
Pink |
Black |
Total |
| Before |
2 u + 31 |
2 u + 31 |
2 u + 31 |
|
| Change |
- 1 u - 31 |
- 31 |
- 59 |
|
| After |
1 u |
2 u |
2 u - 28 |
217 |
Sabrina had the same number of pink, gold and black cards at first.
Total number of cards in the end
= 1 u + 2 u + 2 u - 28
= 5 u - 28
5 u - 28 = 217
5 u = 217 + 28
5 u = 245
1 u = 245 ÷ 5 = 49
Number of black cards that Sabrina had at first
= 2 u - 28 + 59
= 2 u + 31
= 2 x 49 + 31
= 129
Answer(s): 129
