Michael, Justin and Ken had a total of 65 stickers. The ratio of the number of stickers that Justin had to the number of stickers that Ken had was 2 : 3. After Michael and Justin each gave away half of their stickers, the 3 children had 46 stickers left. How many stickers did Justin and Ken have in the end?
| |
Michael |
Justin |
Ken |
Total |
| Before |
2 p |
2 u |
3 u |
65 |
| Change |
- 1 p |
- 1 u |
|
- 19 |
| After |
1 p |
1 u |
3 u |
46 |
Total number of stickers that Michael and Justin gave away
= 65 - 46
= 19
1 p + 1 u = 19 --- (1)
1 p + 1 u + 3 u = 46
1 p + 4 u = 46 --- (2)
(2) - (1)
(1 p + 4 u) - (1 p + 1 u) = 46 - 19
4 u - 1 u = 27
3 u = 27
1 u = 27 ÷ 3 = 9
Total number of stickers that Justin and Ken had in the end
= 1 u + 3 u
= 4 u
= 4 x 9
= 36
Answer(s): 36
