Betty's uncle's weight to her weight is 6 : 5. If Betty puts on 25% 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.
|
Betty's uncle |
Betty |
Total |
Before |
6 u |
5 u |
11 u |
Change |
- 1.25 u |
+ 1.25 u |
|
After |
4.75 u |
6.25 u |
11 u |
Amount of weight that Betty puts on
= 25% x 5 u
=
25100 x 5 u
= 1.25 u
The total weight remains unchanged.
Percentage of weight that Betty's uncle must be reduced by
=
1.256 x 100%
≈ 20.8% (Correct to 1 decimal place.)
Answer(s): 20.8%