Natalie's mother's weight to her weight is 7 : 3. If Natalie puts on 30% more weight, by what percentage must her mother's weight be reduced by so that their total weight remains unchanged as before? Correct the answer to 1 decimal place.
| |
Natalie's mother |
Natalie |
Total |
| Before |
7 u |
3 u |
10 u |
| Change |
- 0.9 u |
+ 0.9 u |
|
| After |
6.1 u |
3.9 u |
10 u |
Amount of weight that Natalie puts on
= 30% x 3 u
=
30100 x 3 u
= 0.9 u
The total weight remains unchanged.
Percentage of weight that Natalie's mother must be reduced by
=
0.97 x 100%
≈ 12.9% (Correct to 1 decimal place.)
Answer(s): 12.9%
