Fabian, Brandon and Albert had a total of 32 erasers. The ratio of the number of erasers that Brandon had to the number of erasers that Albert had was 2 : 3. After Fabian and Brandon each gave away half of their erasers, the 3 children had 19 erasers left. How many erasers did Brandon and Albert have in the end?
| |
Fabian |
Brandon |
Albert |
Total |
| Before |
2 p |
2 u |
3 u |
32 |
| Change |
- 1 p |
- 1 u |
|
- 13 |
| After |
1 p |
1 u |
3 u |
19 |
Total number of erasers that Fabian and Brandon gave away
= 32 - 19
= 13
1 p + 1 u = 13 --- (1)
1 p + 1 u + 3 u = 19
1 p + 4 u = 19 --- (2)
(2) - (1)
(1 p + 4 u) - (1 p + 1 u) = 19 - 13
4 u - 1 u = 6
3 u = 6
1 u = 6 ÷ 3 = 2
Total number of erasers that Brandon and Albert had in the end
= 1 u + 3 u
= 4 u
= 4 x 2
= 8
Answer(s): 8
