Hazel's aunt's weight to her weight is 7 : 5. If Hazel 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.
| |
Hazel's aunt |
Hazel |
Total |
| Before |
7 u |
5 u |
12 u |
| Change |
- 0.5 u |
+ 0.5 u |
|
| After |
6.5 u |
5.5 u |
12 u |
Amount of weight that Hazel puts on
= 10% x 5 u
=
10100 x 5 u
= 0.5 u
The total weight remains unchanged.
Percentage of weight that Hazel's aunt must be reduced by
=
0.57 x 100%
≈ 7.1% (Correct to 1 decimal place.)
Answer(s): 7.1%
