Anna had the same number of red, blue and grey cards at first. After giving some red and blue cards and 48 grey cards away, Anna had 176 cards left. There were 2 times as many red cards as blue cards left. The number of grey cards left was 34 fewer than the number of red cards left. How many grey cards did she have at first?
| |
Blue |
Red |
Grey |
Total |
| Before |
2 u + 14 |
2 u + 14 |
2 u + 14 |
|
| Change |
- 1 u - 14 |
- 14 |
- 48 |
|
| After |
1 u |
2 u |
2 u - 34 |
176 |
Anna had the same number of red, blue and grey cards at first.
Total number of cards in the end
= 1 u + 2 u + 2 u - 34
= 5 u - 34
5 u - 34 = 176
5 u = 176 + 34
5 u = 210
1 u = 210 ÷ 5 = 42
Number of grey cards that Anna had at first
= 2 u - 34 + 48
= 2 u + 14
= 2 x 42 + 14
= 98
Answer(s): 98
