Usha is 10% heavier than Xavier. Nicole is 40% lighter than Xavier. Usha is 50 kg heavier than Nicole. What is Xavier's mass?
| Usha |
Xavier |
Nicole |
| 110% |
100% |
|
| |
100% |
60% |
| 11 u |
10 u |
6 u |
Usha's mass compared to Xavier's mass in percent
= 100% + 10%
= 110%
Nicole's mass compared to Xavier's mass in percent
= 100% - 40%
= 60%
110% =
110100 =
111060% =
60100 =
610Xavier's mass is the repeated identity. Make Xavier's mass the same.
Xavier's mass = 10 u
Mass that Usha has more than Nicole
= 11 u - 6 u
= 5 u
5 u = 50
1 u = 50 ÷ 5 = 10
Xavier's mass
= 10 u
= 10 x 10
= 100 kg
Answer(s): 100 kg
