Shiyun's uncle's weight to her weight is 7 : 4. If Shiyun puts on 20% more weight, by what percentage must her uncle's weight be reduced by so that their total weight remains unchanged as before? Correct the answer to 1 decimal place.
| |
Shiyun's uncle |
Shiyun |
Total |
| Before |
7 u |
4 u |
11 u |
| Change |
- 0.8 u |
+ 0.8 u |
|
| After |
6.2 u |
4.8 u |
11 u |
Amount of weight that Shiyun puts on
= 20% x 4 u
=
20100 x 4 u
= 0.8 u
The total weight remains unchanged.
Percentage of weight that Shiyun's uncle must be reduced by
=
0.87 x 100%
≈ 11.4% (Correct to 1 decimal place.)
Answer(s): 11.4%
