Will had
34 as many stickers as Luis. Luis had
47 as many stickers as Roshel. After Will and Roshel gave 4 stickers to Luis, Luis had thrice as many stickers as Will. Roshel then had the same number of stickers as Luis.
- What was the ratio of the number of stickers Roshel had to the number of stickers Will had in the beginning? Answer in simplest form.
- How many stickers did Luis have in the end?
Will |
Luis |
Roshel |
3 |
4 |
|
|
4 |
7 |
3 |
4 |
7 |
(a)
The number of stickers that Luis is repeated.
Ratio of the number of stickers that Roshel had to the number of stickers that Will had in the beginning = 7 : 3
|
Will |
Luis |
Roshel |
Total |
Before |
3x1 = 3 u |
4x1 = 4 u |
7x1 = 7 u |
14x1 = 14 u |
Change |
- 4 |
+ 8 |
- 4 |
|
After |
1x2 = 2 u |
3x2 = 6 u |
3x2 = 6 u |
7x2 = 14 u |
The total number of stickers at first and in the end remains unchanged. Make the total number of stickers the same. LCM of 14 and 7 is 14.
Number of stickers that Luis received from Will and Roshel
= 2 x 4
= 8
Number of stickers that Luis received from Will and Roshel
= 2 x 1 u
= 2 u
2 u = 4
1 u = 4 ÷ 2 = 2
Number of stickers that Ashley had in the end
= 6 u
= 6 x 2
= 12
Answer(s): (a) 7 : 3; (b) 12