Shannon's uncle's weight to her weight is 6 : 5. If Shannon puts on 10% more weight, by what percentage must her uncle's weight be reduced by so that their total weight remains unchanged as before? Correct the answer to 1 decimal place.
| |
Shannon's uncle |
Shannon |
Total |
| Before |
6 u |
5 u |
11 u |
| Change |
- 0.5 u |
+ 0.5 u |
|
| After |
5.5 u |
5.5 u |
11 u |
Amount of weight that Shannon puts on
= 10% x 5 u
=
10100 x 5 u
= 0.5 u
The total weight remains unchanged.
Percentage of weight that Shannon's uncle must be reduced by
=
0.56 x 100%
≈ 8.3% (Correct to 1 decimal place.)
Answer(s): 8.3%
