Opal had the same number of white, red and brown beads at first. After giving some white and red beads and 59 brown beads away, Opal had 159 beads left. There were 2 times as many white beads as red beads left. The number of brown beads left was 21 fewer than the number of white beads left. How many brown beads did she have at first?
| |
Red |
White |
Brown |
Total |
| Before |
2 u + 38 |
2 u + 38 |
2 u + 38 |
|
| Change |
- 1 u - 38 |
- 38 |
- 59 |
|
| After |
1 u |
2 u |
2 u - 21 |
159 |
Opal had the same number of white, red and brown beads at first.
Total number of beads in the end
= 1 u + 2 u + 2 u - 21
= 5 u - 21
5 u - 21 = 159
5 u = 159 + 21
5 u = 180
1 u = 180 ÷ 5 = 36
Number of brown beads that Opal had at first
= 2 u - 21 + 59
= 2 u + 38
= 2 x 36 + 38
= 110
Answer(s): 110
