Esther's uncle's weight to her weight is 7 : 4. 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 |
4 u |
11 u |
| Change |
- 1.6 u |
+ 1.6 u |
|
| After |
5.4 u |
5.6 u |
11 u |
Amount of weight that Esther puts on
= 40% x 4 u
=
40100 x 4 u
= 1.6 u
The total weight remains unchanged.
Percentage of weight that Esther's uncle must be reduced by
=
1.67 x 100%
≈ 22.9% (Correct to 1 decimal place.)
Answer(s): 22.9%
