Natalie had a collection of 2100 brown, silver and blue beads. After Natalie gave away 260 brown beads, the number of brown beads was 240 fewer than the number of silver beads. Given that the number of blue beads was thrice as many as the number of silver beads, how many brown beads did Natalie have at first?
| |
Brown beads |
Silver beads |
Blue beads |
Total |
| Before |
1 u + 260 |
1 u + 240 |
3 u + 720 |
2100 |
| Change |
- 260 |
|
|
|
| After |
1 u |
1 u + 240 |
3 u + 720 |
|
Number of blue beads in the end
= 3 x (1 u + 240)
= 3 u + 720
Total number of beads at first
= 1 u + 260 + 1 u + 240 + 3 u + 720
= 5 u + 1220
5 u + 1220 = 2100
5 u = 2100 - 1220
5 u = 880
1 u = 880 ÷ 5 = 176
Number of brown beads that Natalie had at first
= 1 u + 260
= 176 + 260
= 436
Answer(s): 436
