Jade had the same number of purple, brown and silver cards at first. After giving some purple and brown cards and 67 silver cards away, Jade had 245 cards left. There were 2 times as many purple cards as brown cards left. The number of silver cards left was 30 fewer than the number of purple cards left. How many silver cards did she have at first?
| |
Brown |
Purple |
Silver |
Total |
| Before |
2 u + 37 |
2 u + 37 |
2 u + 37 |
|
| Change |
- 1 u - 37 |
- 37 |
- 67 |
|
| After |
1 u |
2 u |
2 u - 30 |
245 |
Jade had the same number of purple, brown and silver cards at first.
Total number of cards in the end
= 1 u + 2 u + 2 u - 30
= 5 u - 30
5 u - 30 = 245
5 u = 245 + 30
5 u = 275
1 u = 275 ÷ 5 = 55
Number of silver cards that Jade had at first
= 2 u - 30 + 67
= 2 u + 37
= 2 x 55 + 37
= 147
Answer(s): 147
