Winnie had a collection of 1670 green, black and pink beads. After Winnie gave away 230 green beads, the number of green beads was 170 fewer than the number of black beads. Given that the number of pink beads was five times as many as the number of black beads, how many green beads did Winnie have at first?
| |
Green beads |
Black beads |
Pink beads |
Total |
| Before |
1 u + 230 |
1 u + 170 |
5 u + 850 |
1670 |
| Change |
- 230 |
|
|
|
| After |
1 u |
1 u + 170 |
5 u + 850 |
|
Number of pink beads in the end
= 5 x (1 u + 170)
= 5 u + 850
Total number of beads at first
= 1 u + 230 + 1 u + 170 + 5 u + 850
= 7 u + 1250
7 u + 1250 = 1670
7 u = 1670 - 1250
7 u = 420
1 u = 420 ÷ 7 = 60
Number of green beads that Winnie had at first
= 1 u + 230
= 60 + 230
= 290
Answer(s): 290
