Jean is 10% heavier than Henry. Pamela is 20% lighter than Henry. Jean is 24 kg heavier than Pamela. What is Henry's mass?
| Jean |
Henry |
Pamela |
| 110% |
100% |
|
| |
100% |
80% |
| 11 u |
10 u |
8 u |
Jean's mass compared to Henry's mass in percent
= 100% + 10%
= 110%
Pamela's mass compared to Henry's mass in percent
= 100% - 20%
= 80%
110% =
110100 =
111080% =
80100 =
810Henry's mass is the repeated identity. Make Henry's mass the same.
Henry's mass = 10 u
Mass that Jean has more than Pamela
= 11 u - 8 u
= 3 u
3 u = 24
1 u = 24 ÷ 3 = 8
Henry's mass
= 10 u
= 10 x 8
= 80 kg
Answer(s): 80 kg
