Diana had a collection of 1660 pink, white and green beads. After Diana gave away 230 pink beads, the number of pink beads was 110 fewer than the number of white beads. Given that the number of green beads was thrice as many as the number of white beads, how many pink beads did Diana have at first?
| |
Pink beads |
White beads |
Green beads |
Total |
| Before |
1 u + 230 |
1 u + 110 |
3 u + 330 |
1660 |
| Change |
- 230 |
|
|
|
| After |
1 u |
1 u + 110 |
3 u + 330 |
|
Number of green beads in the end
= 3 x (1 u + 110)
= 3 u + 330
Total number of beads at first
= 1 u + 230 + 1 u + 110 + 3 u + 330
= 5 u + 670
5 u + 670 = 1660
5 u = 1660 - 670
5 u = 990
1 u = 990 ÷ 5 = 198
Number of pink beads that Diana had at first
= 1 u + 230
= 198 + 230
= 428
Answer(s): 428
