Tiffany had a collection of 2210 brown, yellow and pink beads. After Tiffany gave away 270 brown beads, the number of brown beads was 120 fewer than the number of yellow beads. Given that the number of pink beads was thrice as many as the number of yellow beads, how many brown beads did Tiffany have at first?
| |
Brown beads |
Yellow beads |
Pink beads |
Total |
| Before |
1 u + 270 |
1 u + 120 |
3 u + 360 |
2210 |
| Change |
- 270 |
|
|
|
| After |
1 u |
1 u + 120 |
3 u + 360 |
|
Number of pink beads in the end
= 3 x (1 u + 120)
= 3 u + 360
Total number of beads at first
= 1 u + 270 + 1 u + 120 + 3 u + 360
= 5 u + 750
5 u + 750 = 2210
5 u = 2210 - 750
5 u = 1460
1 u = 1460 ÷ 5 = 292
Number of brown beads that Tiffany had at first
= 1 u + 270
= 292 + 270
= 562
Answer(s): 562
