Lucy is 20% heavier than Riordan. Shiyun is 40% lighter than Riordan. Lucy is 27 kg heavier than Shiyun. What is Riordan's mass?
| Lucy |
Riordan |
Shiyun |
| 120% |
100% |
|
| |
100% |
60% |
| 6 u |
5 u |
3 u |
Lucy's mass compared to Riordan's mass in percent
= 100% + 20%
= 120%
Shiyun's mass compared to Riordan's mass in percent
= 100% - 40%
= 60%
120% =
120100 =
6560% =
60100 =
35Riordan's mass is the repeated identity. Make Riordan's mass the same.
Riordan's mass = 5 u
Mass that Lucy has more than Shiyun
= 6 u - 3 u
= 3 u
3 u = 27
1 u = 27 ÷ 3 = 9
Riordan's mass
= 5 u
= 5 x 9
= 45 kg
Answer(s): 45 kg
