Marion had a collection of 1740 brown, yellow and purple beads. After Marion gave away 310 brown beads, the number of brown beads was 230 fewer than the number of yellow beads. Given that the number of purple beads was thrice as many as the number of yellow beads, how many brown beads did Marion have at first?
| |
Brown beads |
Yellow beads |
Purple beads |
Total |
| Before |
1 u + 310 |
1 u + 230 |
3 u + 690 |
1740 |
| Change |
- 310 |
|
|
|
| After |
1 u |
1 u + 230 |
3 u + 690 |
|
Number of purple beads in the end
= 3 x (1 u + 230)
= 3 u + 690
Total number of beads at first
= 1 u + 310 + 1 u + 230 + 3 u + 690
= 5 u + 1230
5 u + 1230 = 1740
5 u = 1740 - 1230
5 u = 510
1 u = 510 ÷ 5 = 102
Number of brown beads that Marion had at first
= 1 u + 310
= 102 + 310
= 412
Answer(s): 412
