Nicole is 40% heavier than David. Eva is 50% lighter than David. Nicole is 36 kg heavier than Eva. What is David's mass?
| Nicole |
David |
Eva |
| 140% |
100% |
|
| |
100% |
50% |
| 14 u |
10 u |
5 u |
Nicole's mass compared to David's mass in percent
= 100% + 40%
= 140%
Eva's mass compared to David's mass in percent
= 100% - 50%
= 50%
140% =
140100 =
141050% =
50100 =
510David's mass is the repeated identity. Make David's mass the same.
David's mass = 10 u
Mass that Nicole has more than Eva
= 14 u - 5 u
= 9 u
9 u = 36
1 u = 36 ÷ 9 = 4
David's mass
= 10 u
= 10 x 4
= 40 kg
Answer(s): 40 kg
