Yoko's father's weight to her weight is 7 : 4. If Yoko puts on 20% more weight, by what percentage must her father's weight be reduced by so that their total weight remains unchanged as before? Correct the answer to 1 decimal place.
|
Yoko's father |
Yoko |
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 Yoko puts on
= 20% x 4 u
=
20100 x 4 u
= 0.8 u
The total weight remains unchanged.
Percentage of weight that Yoko's father must be reduced by
=
0.87 x 100%
≈ 11.4% (Correct to 1 decimal place.)
Answer(s): 11.4%