Shannon's mother's weight to her weight is 7 : 2. If Shannon puts on 10% more weight, by what percentage must her mother's weight be reduced by so that their total weight remains unchanged as before? Correct the answer to 1 decimal place.
| |
Shannon's mother |
Shannon |
Total |
| Before |
7 u |
2 u |
9 u |
| Change |
- 0.2 u |
+ 0.2 u |
|
| After |
6.8 u |
2.2 u |
9 u |
Amount of weight that Shannon puts on
= 10% x 2 u
=
10100 x 2 u
= 0.2 u
The total weight remains unchanged.
Percentage of weight that Shannon's mother must be reduced by
=
0.27 x 100%
≈ 2.9% (Correct to 1 decimal place.)
Answer(s): 2.9%
