Tammy had the same number of green, brown and red cards at first. After giving some green and brown cards and 68 red cards away, Tammy had 192 cards left. There were 2 times as many green cards as brown cards left. The number of red cards left was 23 fewer than the number of green cards left. How many red cards did she have at first?
| |
Brown |
Green |
Red |
Total |
| Before |
2 u + 45 |
2 u + 45 |
2 u + 45 |
|
| Change |
- 1 u - 45 |
- 45 |
- 68 |
|
| After |
1 u |
2 u |
2 u - 23 |
192 |
Tammy had the same number of green, brown and red cards at first.
Total number of cards in the end
= 1 u + 2 u + 2 u - 23
= 5 u - 23
5 u - 23 = 192
5 u = 192 + 23
5 u = 215
1 u = 215 ÷ 5 = 43
Number of red cards that Tammy had at first
= 2 u - 23 + 68
= 2 u + 45
= 2 x 43 + 45
= 131
Answer(s): 131
