Sean and Liam had some stickers in the ratio of 4 : 3. Liam and Archie had some stickers in the ratio of 10 : 1. Sean sold 175 stickers to Archie and ended up with half the number of stickers Liam had. How many stickers did Archie have in the end?
| Sean |
Liam |
Archie |
| 4x10 |
3x10 |
|
| |
10x3 |
1x3 |
| 40 u |
30 u |
3 u |
The number of stickers that Liam had at first is repeated. Make the number of stickers that Liam had at first the same. LCM of 3 and 10 is 30.
| |
Sean |
Liam |
Archie |
| Before |
40 u |
30 u |
3 u |
| Change |
- 175 |
|
+ 175 |
| After |
15 u |
30 u |
3 u + 175 |
Number of stickers that Sean had in the end
= 30 u ÷ 2
= 15 u
Number of stickers that Sean sold to Archie
= 40 u - 15 u
= 25 u
25 u = 175
1 u = 175 ÷ 25 = 7
Number of stickers that Archie had in the end
= 3 u + 175
= 3 x 7 + 175
= 21 + 175
= 196
Answer(s): 196
