Hilda is 20% heavier than Henry. Elyse is 40% lighter than Henry. Hilda is 27 kg heavier than Elyse. What is Henry's mass?
| Hilda |
Henry |
Elyse |
| 120% |
100% |
|
| |
100% |
60% |
| 6 u |
5 u |
3 u |
Hilda's mass compared to Henry's mass in percent
= 100% + 20%
= 120%
Elyse's mass compared to Henry's mass in percent
= 100% - 40%
= 60%
120% =
120100 =
6560% =
60100 =
35Henry's mass is the repeated identity. Make Henry's mass the same.
Henry's mass = 5 u
Mass that Hilda has more than Elyse
= 6 u - 3 u
= 3 u
3 u = 27
1 u = 27 ÷ 3 = 9
Henry's mass
= 5 u
= 5 x 9
= 45 kg
Answer(s): 45 kg
