Jeremy, Wesley and Flynn had a total of 40 erasers. The ratio of the number of erasers that Wesley had to the number of erasers that Flynn had was 2 : 3. After Jeremy and Wesley each gave away half of their erasers, the 3 children had 29 erasers left. How many erasers did Wesley and Flynn have at first?
| |
Jeremy |
Wesley |
Flynn |
Total |
| Before |
2 p |
2 u |
3 u |
40 |
| Change |
- 1 p |
- 1 u |
|
- 11 |
| After |
1 p |
1 u |
3 u |
29 |
Total number of erasers that Jeremy and Wesley gave away
= 40 - 29
= 11
1 p + 1 u = 11 --- (1)
1 p + 1 u + 3 u = 29
1 p + 4 u = 29 --- (2)
(2) - (1)
(1 p + 4 u) - (1 p + 1 u) = 29 - 11
4 u - 1 u = 18
3 u = 18
1 u = 18 ÷ 3 = 6
Total number of erasers that Wesley and Flynn had at first
= 2 u + 3 u
= 5 u
= 5 x 6
= 30
Answer(s): 30
