Kathy is 40% heavier than Julian. Nora is 20% lighter than Julian. Kathy is 6 kg heavier than Nora. What is Julian's mass?
Kathy |
Julian |
Nora |
140% |
100% |
|
|
100% |
80% |
7 u |
5 u |
4 u |
Kathy's mass compared to Julian's mass in percent
= 100% + 40%
= 140%
Nora's mass compared to Julian's mass in percent
= 100% - 20%
= 80%
140% =
140100 =
7580% =
80100 =
45Julian's mass is the repeated identity. Make Julian's mass the same.
Julian's mass = 5 u
Mass that Kathy has more than Nora
= 7 u - 4 u
= 3 u
3 u = 6
1 u = 6 ÷ 3 = 2
Julian's mass
= 5 u
= 5 x 2
= 10 kg
Answer(s): 10 kg