Olivia had a collection of 2260 green, grey and purple beads. After Olivia gave away 310 green beads, the number of green beads was 200 fewer than the number of grey beads. Given that the number of purple beads was thrice as many as the number of grey beads, how many green beads did Olivia have at first?
| |
Green beads |
Grey beads |
Purple beads |
Total |
| Before |
1 u + 310 |
1 u + 200 |
3 u + 600 |
2260 |
| Change |
- 310 |
|
|
|
| After |
1 u |
1 u + 200 |
3 u + 600 |
|
Number of purple beads in the end
= 3 x (1 u + 200)
= 3 u + 600
Total number of beads at first
= 1 u + 310 + 1 u + 200 + 3 u + 600
= 5 u + 1110
5 u + 1110 = 2260
5 u = 2260 - 1110
5 u = 1150
1 u = 1150 ÷ 5 = 230
Number of green beads that Olivia had at first
= 1 u + 310
= 230 + 310
= 540
Answer(s): 540
