Kathy had the same number of silver, blue and black beads at first. After giving some silver and blue beads and 54 black beads away, Kathy had 151 beads left. There were 4 times as many silver beads as blue beads left. The number of black beads left was 29 fewer than the number of silver beads left. How many black beads did she have at first?
| |
Blue |
Silver |
Black |
Total |
| Before |
4 u + 25 |
4 u + 25 |
4 u + 25 |
|
| Change |
- 3 u - 25 |
- 25 |
- 54 |
|
| After |
1 u |
4 u |
4 u - 29 |
151 |
Kathy had the same number of silver, blue and black beads at first.
Total number of beads in the end
= 1 u + 4 u + 4 u - 29
= 9 u - 29
9 u - 29 = 151
9 u = 151 + 29
9 u = 180
1 u = 180 ÷ 9 = 20
Number of black beads that Kathy had at first
= 4 u - 29 + 54
= 4 u + 25
= 4 x 20 + 25
= 105
Answer(s): 105
