Erika had a collection of 2410 green, purple and blue beads. After Erika gave away 340 green beads, the number of green beads was 180 fewer than the number of purple beads. Given that the number of blue beads was four times as many as the number of purple beads, how many green beads did Erika have at first?
| |
Green beads |
Purple beads |
Blue beads |
Total |
| Before |
1 u + 340 |
1 u + 180 |
4 u + 720 |
2410 |
| Change |
- 340 |
|
|
|
| After |
1 u |
1 u + 180 |
4 u + 720 |
|
Number of blue beads in the end
= 4 x (1 u + 180)
= 4 u + 720
Total number of beads at first
= 1 u + 340 + 1 u + 180 + 4 u + 720
= 6 u + 1240
6 u + 1240 = 2410
6 u = 2410 - 1240
6 u = 1170
1 u = 1170 ÷ 6 = 195
Number of green beads that Erika had at first
= 1 u + 340
= 195 + 340
= 535
Answer(s): 535
