Emily had a collection of 2330 green, silver and red beads. After Emily gave away 240 green beads, the number of green beads was 150 fewer than the number of silver beads. Given that the number of red beads was five times as many as the number of silver beads, how many green beads did Emily have at first?
| |
Green beads |
Silver beads |
Red beads |
Total |
| Before |
1 u + 240 |
1 u + 150 |
5 u + 750 |
2330 |
| Change |
- 240 |
|
|
|
| After |
1 u |
1 u + 150 |
5 u + 750 |
|
Number of red beads in the end
= 5 x (1 u + 150)
= 5 u + 750
Total number of beads at first
= 1 u + 240 + 1 u + 150 + 5 u + 750
= 7 u + 1140
7 u + 1140 = 2330
7 u = 2330 - 1140
7 u = 1190
1 u = 1190 ÷ 7 = 170
Number of green beads that Emily had at first
= 1 u + 240
= 170 + 240
= 410
Answer(s): 410
