Wendy had the same number of brown, white and green marbles at first. After giving some brown and white marbles and 55 green marbles away, Wendy had 219 marbles left. There were 3 times as many brown marbles as white marbles left. The number of green marbles left was 12 fewer than the number of brown marbles left. How many green marbles did she have at first?
| |
White |
Brown |
Green |
Total |
| Before |
3 u + 43 |
3 u + 43 |
3 u + 43 |
|
| Change |
- 2 u - 43 |
- 43 |
- 55 |
|
| After |
1 u |
3 u |
3 u - 12 |
219 |
Wendy had the same number of brown, white and green marbles at first.
Total number of marbles 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 green marbles that Wendy had at first
= 3 u - 12 + 55
= 3 u + 43
= 3 x 33 + 43
= 142
Answer(s): 142
