Sabrina had the same number of yellow, grey and green cards at first. After giving some yellow and grey cards and 58 green cards away, Sabrina had 205 cards left. There were 3 times as many yellow cards as grey cards left. The number of green cards left was 40 fewer than the number of yellow cards left. How many green cards did she have at first?
| |
Grey |
Yellow |
Green |
Total |
| Before |
3 u + 18 |
3 u + 18 |
3 u + 18 |
|
| Change |
- 2 u - 18 |
- 18 |
- 58 |
|
| After |
1 u |
3 u |
3 u - 40 |
205 |
Sabrina had the same number of yellow, grey and green cards at first.
Total number of cards in the end
= 1 u + 3 u + 3 u - 40
= 7 u - 40
7 u - 40 = 205
7 u = 205 + 40
7 u = 245
1 u = 245 ÷ 7 = 35
Number of green cards that Sabrina had at first
= 3 u - 40 + 58
= 3 u + 18
= 3 x 35 + 18
= 123
Answer(s): 123
