Tammy had a collection of 2010 red, silver and grey beads. After Tammy gave away 210 red beads, the number of red beads was 180 fewer than the number of silver beads. Given that the number of grey beads was twice as many as the number of silver beads, how many red beads did Tammy have at first?
| |
Red beads |
Silver beads |
Grey beads |
Total |
| Before |
1 u + 210 |
1 u + 180 |
2 u + 360 |
2010 |
| Change |
- 210 |
|
|
|
| After |
1 u |
1 u + 180 |
2 u + 360 |
|
Number of grey beads in the end
= 2 x (1 u + 180)
= 2 u + 360
Total number of beads at first
= 1 u + 210 + 1 u + 180 + 2 u + 360
= 4 u + 750
4 u + 750 = 2010
4 u = 2010 - 750
4 u = 1260
1 u = 1260 ÷ 4 = 315
Number of red beads that Tammy had at first
= 1 u + 210
= 315 + 210
= 525
Answer(s): 525
