Kathy is 10% heavier than Vincent. Gem is 30% lighter than Vincent. Kathy is 36 kg heavier than Gem. What is Vincent's mass?
| Kathy |
Vincent |
Gem |
| 110% |
100% |
|
| |
100% |
70% |
| 11 u |
10 u |
7 u |
Kathy's mass compared to Vincent's mass in percent
= 100% + 10%
= 110%
Gem's mass compared to Vincent's mass in percent
= 100% - 30%
= 70%
110% =
110100 =
111070% =
70100 =
710Vincent's mass is the repeated identity. Make Vincent's mass the same.
Vincent's mass = 10 u
Mass that Kathy has more than Gem
= 11 u - 7 u
= 4 u
4 u = 36
1 u = 36 ÷ 4 = 9
Vincent's mass
= 10 u
= 10 x 9
= 90 kg
Answer(s): 90 kg
