Peter, Valen and Luke had a total of 48 stickers. The ratio of the number of stickers that Valen had to the number of stickers that Luke had was 4 : 3. After Peter and Valen each gave away half of their stickers, the 3 children had 33 stickers left. How many stickers did Valen and Luke have at first?
| |
Peter |
Valen |
Luke |
Total |
| Before |
2 p |
4 u |
3 u |
48 |
| Change |
- 1 p |
- 2 u |
|
- 15 |
| After |
1 p |
2 u |
3 u |
33 |
Total number of stickers that Peter and Valen gave away
= 48 - 33
= 15
1 p + 2 u = 15 --- (1)
1 p + 2 u + 3 u = 33
1 p + 5 u = 33 --- (2)
(2) - (1)
(1 p + 5 u) - (1 p + 2 u) = 33 - 15
5 u - 2 u = 18
3 u = 18
1 u = 18 ÷ 3 = 6
Total number of stickers that Valen and Luke had at first
= 4 u + 3 u
= 7 u
= 7 x 6
= 42
Answer(s): 42
