Tammy had a collection of 2480 brown, gold and pink beads. After Tammy gave away 330 brown beads, the number of brown beads was 200 fewer than the number of gold beads. Given that the number of pink beads was thrice as many as the number of gold beads, how many brown beads did Tammy have at first?
| |
Brown beads |
Gold beads |
Pink beads |
Total |
| Before |
1 u + 330 |
1 u + 200 |
3 u + 600 |
2480 |
| Change |
- 330 |
|
|
|
| After |
1 u |
1 u + 200 |
3 u + 600 |
|
Number of pink beads in the end
= 3 x (1 u + 200)
= 3 u + 600
Total number of beads at first
= 1 u + 330 + 1 u + 200 + 3 u + 600
= 5 u + 1130
5 u + 1130 = 2480
5 u = 2480 - 1130
5 u = 1350
1 u = 1350 ÷ 5 = 270
Number of brown beads that Tammy had at first
= 1 u + 330
= 270 + 330
= 600
Answer(s): 600
