Pamela's aunt's weight to her weight is 4 : 3. If Pamela puts on 10% 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.
| |
Pamela's aunt |
Pamela |
Total |
| Before |
4 u |
3 u |
7 u |
| Change |
- 0.3 u |
+ 0.3 u |
|
| After |
3.7 u |
3.3 u |
7 u |
Amount of weight that Pamela puts on
= 10% x 3 u
=
10100 x 3 u
= 0.3 u
The total weight remains unchanged.
Percentage of weight that Pamela's aunt must be reduced by
=
0.34 x 100%
≈ 7.5% (Correct to 1 decimal place.)
Answer(s): 7.5%
