Hazel had the same number of green, purple and brown cards at first. After giving some green and purple cards and 60 brown cards away, Hazel had 214 cards left. There were 5 times as many green cards as purple cards left. The number of brown cards left was 39 fewer than the number of green cards left. How many brown cards did she have at first?
| |
Purple |
Green |
Brown |
Total |
| Before |
5 u + 21 |
5 u + 21 |
5 u + 21 |
|
| Change |
- 4 u - 21 |
- 21 |
- 60 |
|
| After |
1 u |
5 u |
5 u - 39 |
214 |
Hazel had the same number of green, purple and brown cards at first.
Total number of cards in the end
= 1 u + 5 u + 5 u - 39
= 11 u - 39
11 u - 39 = 214
11 u = 214 + 39
11 u = 253
1 u = 253 ÷ 11 = 23
Number of brown cards that Hazel had at first
= 5 u - 39 + 60
= 5 u + 21
= 5 x 23 + 21
= 136
Answer(s): 136
