Wendy had a collection of 2330 yellow, brown and blue beads. After Wendy gave away 270 yellow beads, the number of yellow beads was 180 fewer than the number of brown beads. Given that the number of blue beads was twice as many as the number of brown beads, how many yellow beads did Wendy have at first?
| |
Yellow beads |
Brown beads |
Blue beads |
Total |
| Before |
1 u + 270 |
1 u + 180 |
2 u + 360 |
2330 |
| Change |
- 270 |
|
|
|
| After |
1 u |
1 u + 180 |
2 u + 360 |
|
Number of blue beads in the end
= 2 x (1 u + 180)
= 2 u + 360
Total number of beads at first
= 1 u + 270 + 1 u + 180 + 2 u + 360
= 4 u + 810
4 u + 810 = 2330
4 u = 2330 - 810
4 u = 1520
1 u = 1520 ÷ 4 = 380
Number of yellow beads that Wendy had at first
= 1 u + 270
= 380 + 270
= 650
Answer(s): 650
