Cathy is 25% heavier than Vincent. Kimberly is 30% lighter than Vincent. Cathy is 44 kg heavier than Kimberly. What is Vincent's mass?
| Cathy |
Vincent |
Kimberly |
| 125% |
100% |
|
| |
100% |
70% |
| 25 u |
20 u |
14 u |
Cathy's mass compared to Vincent's mass in percent
= 100% + 25%
= 125%
Kimberly's mass compared to Vincent's mass in percent
= 100% - 30%
= 70%
125% =
125100 =
252070% =
70100 =
1420Vincent's mass is the repeated identity. Make Vincent's mass the same.
Vincent's mass = 20 u
Mass that Cathy has more than Kimberly
= 25 u - 14 u
= 11 u
11 u = 44
1 u = 44 ÷ 11 = 4
Vincent's mass
= 20 u
= 20 x 4
= 80 kg
Answer(s): 80 kg
