Ivory had a collection of 1630 silver, blue and purple beads. After Ivory gave away 240 silver beads, the number of silver beads was 220 fewer than the number of blue beads. Given that the number of purple beads was five times as many as the number of blue beads, how many silver beads did Ivory have at first?
| |
Silver beads |
Blue beads |
Purple beads |
Total |
| Before |
1 u + 240 |
1 u + 220 |
5 u + 1100 |
1630 |
| Change |
- 240 |
|
|
|
| After |
1 u |
1 u + 220 |
5 u + 1100 |
|
Number of purple beads in the end
= 5 x (1 u + 220)
= 5 u + 1100
Total number of beads at first
= 1 u + 240 + 1 u + 220 + 5 u + 1100
= 7 u + 1560
7 u + 1560 = 1630
7 u = 1630 - 1560
7 u = 70
1 u = 70 ÷ 7 = 10
Number of silver beads that Ivory had at first
= 1 u + 240
= 10 + 240
= 250
Answer(s): 250
