Erika's mother's weight to her weight is 7 : 5. If Erika puts on 30% 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.
| |
Erika's mother |
Erika |
Total |
| Before |
7 u |
5 u |
12 u |
| Change |
- 1.5 u |
+ 1.5 u |
|
| After |
5.5 u |
6.5 u |
12 u |
Amount of weight that Erika puts on
= 30% x 5 u
=
30100 x 5 u
= 1.5 u
The total weight remains unchanged.
Percentage of weight that Erika's mother must be reduced by
=
1.57 x 100%
≈ 21.4% (Correct to 1 decimal place.)
Answer(s): 21.4%
