Cindy had the same number of purple, white and red beads at first. After giving some purple and white beads and 72 red beads away, Cindy had 199 beads left. There were 2 times as many purple beads as white beads left. The number of red beads left was 11 fewer than the number of purple beads left. How many red beads did she have at first?
| |
White |
Purple |
Red |
Total |
| Before |
2 u + 61 |
2 u + 61 |
2 u + 61 |
|
| Change |
- 1 u - 61 |
- 61 |
- 72 |
|
| After |
1 u |
2 u |
2 u - 11 |
199 |
Cindy had the same number of purple, white and red beads at first.
Total number of beads in the end
= 1 u + 2 u + 2 u - 11
= 5 u - 11
5 u - 11 = 199
5 u = 199 + 11
5 u = 210
1 u = 210 ÷ 5 = 42
Number of red beads that Cindy had at first
= 2 u - 11 + 72
= 2 u + 61
= 2 x 42 + 61
= 145
Answer(s): 145
