Cathy's mother's weight to her weight is 7 : 4. If Cathy 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.
| |
Cathy's mother |
Cathy |
Total |
| Before |
7 u |
4 u |
11 u |
| Change |
- 0.4 u |
+ 0.4 u |
|
| After |
6.6 u |
4.4 u |
11 u |
Amount of weight that Cathy puts on
= 10% x 4 u
=
10100 x 4 u
= 0.4 u
The total weight remains unchanged.
Percentage of weight that Cathy's mother must be reduced by
=
0.47 x 100%
≈ 5.7% (Correct to 1 decimal place.)
Answer(s): 5.7%
