Sabrina is 20% heavier than Billy. Hazel is 40% lighter than Billy. Sabrina is 30 kg heavier than Hazel. What is Billy's mass?
| Sabrina |
Billy |
Hazel |
| 120% |
100% |
|
| |
100% |
60% |
| 6 u |
5 u |
3 u |
Sabrina's mass compared to Billy's mass in percent
= 100% + 20%
= 120%
Hazel's mass compared to Billy's mass in percent
= 100% - 40%
= 60%
120% =
120100 =
6560% =
60100 =
35Billy's mass is the repeated identity. Make Billy's mass the same.
Billy's mass = 5 u
Mass that Sabrina has more than Hazel
= 6 u - 3 u
= 3 u
3 u = 30
1 u = 30 ÷ 3 = 10
Billy's mass
= 5 u
= 5 x 10
= 50 kg
Answer(s): 50 kg
