Fiona had the same number of blue, brown and purple erasers at first. After giving some blue and brown erasers and 41 purple erasers away, Fiona had 193 erasers left. There were 2 times as many blue erasers as brown erasers left. The number of purple erasers left was 12 fewer than the number of blue erasers left. How many purple erasers did she have at first?
| |
Brown |
Blue |
Purple |
Total |
| Before |
2 u + 29 |
2 u + 29 |
2 u + 29 |
|
| Change |
- 1 u - 29 |
- 29 |
- 41 |
|
| After |
1 u |
2 u |
2 u - 12 |
193 |
Fiona had the same number of blue, brown and purple erasers at first.
Total number of erasers in the end
= 1 u + 2 u + 2 u - 12
= 5 u - 12
5 u - 12 = 193
5 u = 193 + 12
5 u = 205
1 u = 205 ÷ 5 = 41
Number of purple erasers that Fiona had at first
= 2 u - 12 + 41
= 2 u + 29
= 2 x 41 + 29
= 111
Answer(s): 111
