Kathy had a collection of 1870 pink, black and yellow beads. After Kathy gave away 290 pink beads, the number of pink beads was 220 fewer than the number of black beads. Given that the number of yellow beads was twice as many as the number of black beads, how many pink beads did Kathy have at first?
| |
Pink beads |
Black beads |
Yellow beads |
Total |
| Before |
1 u + 290 |
1 u + 220 |
2 u + 440 |
1870 |
| Change |
- 290 |
|
|
|
| After |
1 u |
1 u + 220 |
2 u + 440 |
|
Number of yellow beads in the end
= 2 x (1 u + 220)
= 2 u + 440
Total number of beads at first
= 1 u + 290 + 1 u + 220 + 2 u + 440
= 4 u + 950
4 u + 950 = 1870
4 u = 1870 - 950
4 u = 920
1 u = 920 ÷ 4 = 230
Number of pink beads that Kathy had at first
= 1 u + 290
= 230 + 290
= 520
Answer(s): 520
