Diana had the same number of red, gold and green beads at first. After giving some red and gold beads and 68 green beads away, Diana had 203 beads left. There were 2 times as many red beads as gold beads left. The number of green beads left was 32 fewer than the number of red beads left. How many green beads did she have at first?
| |
Gold |
Red |
Green |
Total |
| Before |
2 u + 36 |
2 u + 36 |
2 u + 36 |
|
| Change |
- 1 u - 36 |
- 36 |
- 68 |
|
| After |
1 u |
2 u |
2 u - 32 |
203 |
Diana had the same number of red, gold and green beads at first.
Total number of beads in the end
= 1 u + 2 u + 2 u - 32
= 5 u - 32
5 u - 32 = 203
5 u = 203 + 32
5 u = 235
1 u = 235 ÷ 5 = 47
Number of green beads that Diana had at first
= 2 u - 32 + 68
= 2 u + 36
= 2 x 47 + 36
= 130
Answer(s): 130
