Pamela is 10% heavier than Gabriel. Sabrina is 50% lighter than Gabriel. Pamela is 18 kg heavier than Sabrina. What is Gabriel's mass?
| Pamela |
Gabriel |
Sabrina |
| 110% |
100% |
|
| |
100% |
50% |
| 11 u |
10 u |
5 u |
Pamela's mass compared to Gabriel's mass in percent
= 100% + 10%
= 110%
Sabrina's mass compared to Gabriel's mass in percent
= 100% - 50%
= 50%
110% =
110100 =
111050% =
50100 =
510Gabriel's mass is the repeated identity. Make Gabriel's mass the same.
Gabriel's mass = 10 u
Mass that Pamela has more than Sabrina
= 11 u - 5 u
= 6 u
6 u = 18
1 u = 18 ÷ 6 = 3
Gabriel's mass
= 10 u
= 10 x 3
= 30 kg
Answer(s): 30 kg
