Shannon is 25% heavier than Liam. Julie is 30% lighter than Liam. Shannon is 22 kg heavier than Julie. What is Liam's mass?
| Shannon |
Liam |
Julie |
| 125% |
100% |
|
| |
100% |
70% |
| 25 u |
20 u |
14 u |
Shannon's mass compared to Liam's mass in percent
= 100% + 25%
= 125%
Julie's mass compared to Liam's mass in percent
= 100% - 30%
= 70%
125% =
125100 =
252070% =
70100 =
1420Liam's mass is the repeated identity. Make Liam's mass the same.
Liam's mass = 20 u
Mass that Shannon has more than Julie
= 25 u - 14 u
= 11 u
11 u = 22
1 u = 22 ÷ 11 = 2
Liam's mass
= 20 u
= 20 x 2
= 40 kg
Answer(s): 40 kg
