Penelope had the same number of yellow, green and brown beads at first. After giving some yellow and green beads and 61 brown beads away, Penelope had 234 beads left. There were 4 times as many yellow beads as green beads left. The number of brown beads left was 27 fewer than the number of yellow beads left. How many brown beads did she have at first?
| |
Green |
Yellow |
Brown |
Total |
| Before |
4 u + 34 |
4 u + 34 |
4 u + 34 |
|
| Change |
- 3 u - 34 |
- 34 |
- 61 |
|
| After |
1 u |
4 u |
4 u - 27 |
234 |
Penelope had the same number of yellow, green and brown beads at first.
Total number of beads in the end
= 1 u + 4 u + 4 u - 27
= 9 u - 27
9 u - 27 = 234
9 u = 234 + 27
9 u = 261
1 u = 261 ÷ 9 = 29
Number of brown beads that Penelope had at first
= 4 u - 27 + 61
= 4 u + 34
= 4 x 29 + 34
= 150
Answer(s): 150
