Marion had a collection of 1530 gold, black and red beads. After Marion gave away 250 gold beads, the number of gold beads was 200 fewer than the number of black beads. Given that the number of red beads was thrice as many as the number of black beads, how many gold beads did Marion have at first?
| |
Gold beads |
Black beads |
Red beads |
Total |
| Before |
1 u + 250 |
1 u + 200 |
3 u + 600 |
1530 |
| Change |
- 250 |
|
|
|
| After |
1 u |
1 u + 200 |
3 u + 600 |
|
Number of red beads in the end
= 3 x (1 u + 200)
= 3 u + 600
Total number of beads at first
= 1 u + 250 + 1 u + 200 + 3 u + 600
= 5 u + 1050
5 u + 1050 = 1530
5 u = 1530 - 1050
5 u = 480
1 u = 480 ÷ 5 = 96
Number of gold beads that Marion had at first
= 1 u + 250
= 96 + 250
= 346
Answer(s): 346
