Natalie's aunt's weight to her weight is 3 : 2. If Natalie puts on 10% more weight, by what percentage must her aunt's weight be reduced by so that their total weight remains unchanged as before? Correct the answer to 1 decimal place.
| |
Natalie's aunt |
Natalie |
Total |
| Before |
3 u |
2 u |
5 u |
| Change |
- 0.2 u |
+ 0.2 u |
|
| After |
2.8 u |
2.2 u |
5 u |
Amount of weight that Natalie puts on
= 10% x 2 u
=
10100 x 2 u
= 0.2 u
The total weight remains unchanged.
Percentage of weight that Natalie's aunt must be reduced by
=
0.23 x 100%
≈ 6.7% (Correct to 1 decimal place.)
Answer(s): 6.7%
