Cindy is 20% heavier than Jeremy. Eva is 40% lighter than Jeremy. Cindy is 12 kg heavier than Eva. What is Jeremy's mass?
| Cindy |
Jeremy |
Eva |
| 120% |
100% |
|
| |
100% |
60% |
| 6 u |
5 u |
3 u |
Cindy's mass compared to Jeremy's mass in percent
= 100% + 20%
= 120%
Eva's mass compared to Jeremy's mass in percent
= 100% - 40%
= 60%
120% =
120100 =
6560% =
60100 =
35Jeremy's mass is the repeated identity. Make Jeremy's mass the same.
Jeremy's mass = 5 u
Mass that Cindy has more than Eva
= 6 u - 3 u
= 3 u
3 u = 12
1 u = 12 ÷ 3 = 4
Jeremy's mass
= 5 u
= 5 x 4
= 20 kg
Answer(s): 20 kg
