Xuan is 50% heavier than Xavier. Cathy is 40% lighter than Xavier. Xuan is 36 kg heavier than Cathy. What is Xavier's mass?
| Xuan |
Xavier |
Cathy |
| 150% |
100% |
|
| |
100% |
60% |
| 15 u |
10 u |
6 u |
Xuan's mass compared to Xavier's mass in percent
= 100% + 50%
= 150%
Cathy's mass compared to Xavier's mass in percent
= 100% - 40%
= 60%
150% =
150100 =
151060% =
60100 =
610Xavier's mass is the repeated identity. Make Xavier's mass the same.
Xavier's mass = 10 u
Mass that Xuan has more than Cathy
= 15 u - 6 u
= 9 u
9 u = 36
1 u = 36 ÷ 9 = 4
Xavier's mass
= 10 u
= 10 x 4
= 40 kg
Answer(s): 40 kg
