Rachel's aunt's weight to her weight is 7 : 3. If Rachel puts on 20% 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.
| |
Rachel's aunt |
Rachel |
Total |
| Before |
7 u |
3 u |
10 u |
| Change |
- 0.6 u |
+ 0.6 u |
|
| After |
6.4 u |
3.6 u |
10 u |
Amount of weight that Rachel puts on
= 20% x 3 u
=
20100 x 3 u
= 0.6 u
The total weight remains unchanged.
Percentage of weight that Rachel's aunt must be reduced by
=
0.67 x 100%
≈ 8.6% (Correct to 1 decimal place.)
Answer(s): 8.6%
