Esther's uncle's weight to her weight is 7 : 3. If Esther puts on 40% 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.
|
Esther's uncle |
Esther |
Total |
Before |
7 u |
3 u |
10 u |
Change |
- 1.2 u |
+ 1.2 u |
|
After |
5.8 u |
4.2 u |
10 u |
Amount of weight that Esther puts on
= 40% x 3 u
=
40100 x 3 u
= 1.2 u
The total weight remains unchanged.
Percentage of weight that Esther's uncle must be reduced by
=
1.27 x 100%
≈ 17.1% (Correct to 1 decimal place.)
Answer(s): 17.1%