Reggie had a total of 171 purple and white beads. After giving away
12 of the purple beads and 48 white beads, there was an equal number of purple and white beads left. How many purple beads did he have at first?
| |
Purple beads |
White beads |
Total |
| Before |
2 u |
1 u + 48 |
171 |
| Change |
- 1 u |
- 48 |
|
| After |
1 u |
1 u |
|
Total number of beads at first
= 2 u + 1 u + 48
= 3 u + 48
3 u + 48 = 171
3 u = 171 - 48
3 u = 123
1 u = 123 ÷ 3 = 41
Number of purple beads that Reggie had at first
= 2 u
= 2 x 41
= 82
Answer(s): 82
