Julie had the same number of purple, gold and yellow erasers at first. After giving some purple and gold erasers and 63 yellow erasers away, Julie had 226 erasers left. There were 4 times as many purple erasers as gold erasers left. The number of yellow erasers left was 44 fewer than the number of purple erasers left. How many yellow erasers did she have at first?
|
Gold |
Purple |
Yellow |
Total |
Before |
4 u + 19 |
4 u + 19 |
4 u + 19 |
|
Change |
- 3 u - 19 |
- 19 |
- 63 |
|
After |
1 u |
4 u |
4 u - 44 |
226 |
Julie had the same number of purple, gold and yellow erasers at first.
Total number of erasers in the end
= 1 u + 4 u + 4 u - 44
= 9 u - 44
9 u - 44 = 226
9 u = 226 + 44
9 u = 270
1 u = 270 ÷ 9 = 30
Number of yellow erasers that Julie had at first
= 4 u - 44 + 63
= 4 u + 19
= 4 x 30 + 19
= 139
Answer(s): 139