Tammy had the same number of brown, red and white cards at first. After giving some brown and red cards and 46 white cards away, Tammy had 219 cards left. There were 3 times as many brown cards as red cards left. The number of white cards left was 12 fewer than the number of brown cards left. How many white cards did she have at first?
| |
Red |
Brown |
White |
Total |
| Before |
3 u + 34 |
3 u + 34 |
3 u + 34 |
|
| Change |
- 2 u - 34 |
- 34 |
- 46 |
|
| After |
1 u |
3 u |
3 u - 12 |
219 |
Tammy had the same number of brown, red and white cards at first.
Total number of cards in the end
= 1 u + 3 u + 3 u - 12
= 7 u - 12
7 u - 12 = 219
7 u = 219 + 12
7 u = 231
1 u = 231 ÷ 7 = 33
Number of white cards that Tammy had at first
= 3 u - 12 + 46
= 3 u + 34
= 3 x 33 + 34
= 133
Answer(s): 133
