Oliver, Albert and Japheth had a total of 64 erasers. The ratio of the number of erasers that Albert had to the number of erasers that Japheth had was 2 : 3. After Oliver and Albert each gave away half of their erasers, the 3 children had 50 erasers left. How many erasers did Albert and Japheth have in the end?
| |
Oliver |
Albert |
Japheth |
Total |
| Before |
2 p |
2 u |
3 u |
64 |
| Change |
- 1 p |
- 1 u |
|
- 14 |
| After |
1 p |
1 u |
3 u |
50 |
Total number of erasers that Oliver and Albert gave away
= 64 - 50
= 14
1 p + 1 u = 14 --- (1)
1 p + 1 u + 3 u = 50
1 p + 4 u = 50 --- (2)
(2) - (1)
(1 p + 4 u) - (1 p + 1 u) = 50 - 14
4 u - 1 u = 36
3 u = 36
1 u = 36 ÷ 3 = 12
Total number of erasers that Albert and Japheth had in the end
= 1 u + 3 u
= 4 u
= 4 x 12
= 48
Answer(s): 48
