Sarah's father's weight to her weight is 4 : 3. If Sarah puts on 30% 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.
| |
Sarah's father |
Sarah |
Total |
| Before |
4 u |
3 u |
7 u |
| Change |
- 0.9 u |
+ 0.9 u |
|
| After |
3.1 u |
3.9 u |
7 u |
Amount of weight that Sarah puts on
= 30% x 3 u
=
30100 x 3 u
= 0.9 u
The total weight remains unchanged.
Percentage of weight that Sarah's father must be reduced by
=
0.94 x 100%
≈ 22.5% (Correct to 1 decimal place.)
Answer(s): 22.5%
