Gwen is 25% heavier than Caden. Hilda is 50% lighter than Caden. Gwen is 27 kg heavier than Hilda. What is Caden's mass?
| Gwen |
Caden |
Hilda |
| 125% |
100% |
|
| |
100% |
50% |
| 5 u |
4 u |
2 u |
Gwen's mass compared to Caden's mass in percent
= 100% + 25%
= 125%
Hilda's mass compared to Caden's mass in percent
= 100% - 50%
= 50%
125% =
125100 =
5450% =
50100 =
24Caden's mass is the repeated identity. Make Caden's mass the same.
Caden's mass = 4 u
Mass that Gwen has more than Hilda
= 5 u - 2 u
= 3 u
3 u = 27
1 u = 27 ÷ 3 = 9
Caden's mass
= 4 u
= 4 x 9
= 36 kg
Answer(s): 36 kg
