Nora had the same number of red, white and purple beads at first. After giving some red and white beads and 80 purple beads away, Nora had 167 beads left. There were 2 times as many red beads as white beads left. The number of purple beads left was 28 fewer than the number of red beads left. How many purple beads did she have at first?
| |
White |
Red |
Purple |
Total |
| Before |
2 u + 52 |
2 u + 52 |
2 u + 52 |
|
| Change |
- 1 u - 52 |
- 52 |
- 80 |
|
| After |
1 u |
2 u |
2 u - 28 |
167 |
Nora had the same number of red, white and purple beads at first.
Total number of beads in the end
= 1 u + 2 u + 2 u - 28
= 5 u - 28
5 u - 28 = 167
5 u = 167 + 28
5 u = 195
1 u = 195 ÷ 5 = 39
Number of purple beads that Nora had at first
= 2 u - 28 + 80
= 2 u + 52
= 2 x 39 + 52
= 130
Answer(s): 130
