Shannon's aunt's weight to her weight is 7 : 2. If Shannon puts on 40% 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.
| |
Shannon's aunt |
Shannon |
Total |
| Before |
7 u |
2 u |
9 u |
| Change |
- 0.8 u |
+ 0.8 u |
|
| After |
6.2 u |
2.8 u |
9 u |
Amount of weight that Shannon puts on
= 40% x 2 u
=
40100 x 2 u
= 0.8 u
The total weight remains unchanged.
Percentage of weight that Shannon's aunt must be reduced by
=
0.87 x 100%
≈ 11.4% (Correct to 1 decimal place.)
Answer(s): 11.4%
