Emma had a collection of 2200 grey, red and silver beads. After Emma gave away 270 grey beads, the number of grey beads was 130 fewer than the number of red beads. Given that the number of silver beads was thrice as many as the number of red beads, how many grey beads did Emma have at first?
| |
Grey beads |
Red beads |
Silver beads |
Total |
| Before |
1 u + 270 |
1 u + 130 |
3 u + 390 |
2200 |
| Change |
- 270 |
|
|
|
| After |
1 u |
1 u + 130 |
3 u + 390 |
|
Number of silver beads in the end
= 3 x (1 u + 130)
= 3 u + 390
Total number of beads at first
= 1 u + 270 + 1 u + 130 + 3 u + 390
= 5 u + 790
5 u + 790 = 2200
5 u = 2200 - 790
5 u = 1410
1 u = 1410 ÷ 5 = 282
Number of grey beads that Emma had at first
= 1 u + 270
= 282 + 270
= 552
Answer(s): 552
