Gabby had a collection of 1870 white, purple and green beads. After Gabby gave away 290 white beads, the number of white beads was 240 fewer than the number of purple beads. Given that the number of green beads was five times as many as the number of purple beads, how many white beads did Gabby have at first?
| |
White beads |
Purple beads |
Green beads |
Total |
| Before |
1 u + 290 |
1 u + 240 |
5 u + 1200 |
1870 |
| Change |
- 290 |
|
|
|
| After |
1 u |
1 u + 240 |
5 u + 1200 |
|
Number of green beads in the end
= 5 x (1 u + 240)
= 5 u + 1200
Total number of beads at first
= 1 u + 290 + 1 u + 240 + 5 u + 1200
= 7 u + 1730
7 u + 1730 = 1870
7 u = 1870 - 1730
7 u = 140
1 u = 140 ÷ 7 = 20
Number of white beads that Gabby had at first
= 1 u + 290
= 20 + 290
= 310
Answer(s): 310
