Xylia had the same number of grey, black and silver cards at first. After giving some grey and black cards and 56 silver cards away, Xylia had 180 cards left. There were 2 times as many grey cards as black cards left. The number of silver cards left was 35 fewer than the number of grey cards left. How many silver cards did she have at first?
| |
Black |
Grey |
Silver |
Total |
| Before |
2 u + 21 |
2 u + 21 |
2 u + 21 |
|
| Change |
- 1 u - 21 |
- 21 |
- 56 |
|
| After |
1 u |
2 u |
2 u - 35 |
180 |
Xylia had the same number of grey, black and silver cards at first.
Total number of cards in the end
= 1 u + 2 u + 2 u - 35
= 5 u - 35
5 u - 35 = 180
5 u = 180 + 35
5 u = 215
1 u = 215 ÷ 5 = 43
Number of silver cards that Xylia had at first
= 2 u - 35 + 56
= 2 u + 21
= 2 x 43 + 21
= 107
Answer(s): 107
