Nora had a collection of 2000 brown, purple and white beads. After Nora gave away 240 brown beads, the number of brown beads was 110 fewer than the number of purple beads. Given that the number of white beads was thrice as many as the number of purple beads, how many brown beads did Nora have at first?
| |
Brown beads |
Purple beads |
White beads |
Total |
| Before |
1 u + 240 |
1 u + 110 |
3 u + 330 |
2000 |
| Change |
- 240 |
|
|
|
| After |
1 u |
1 u + 110 |
3 u + 330 |
|
Number of white beads in the end
= 3 x (1 u + 110)
= 3 u + 330
Total number of beads at first
= 1 u + 240 + 1 u + 110 + 3 u + 330
= 5 u + 680
5 u + 680 = 2000
5 u = 2000 - 680
5 u = 1320
1 u = 1320 ÷ 5 = 264
Number of brown beads that Nora had at first
= 1 u + 240
= 264 + 240
= 504
Answer(s): 504
