Jaslyn is 10% heavier than Caden. Hazel is 50% lighter than Caden. Jaslyn is 54 kg heavier than Hazel. What is Caden's mass?
| Jaslyn |
Caden |
Hazel |
| 110% |
100% |
|
| |
100% |
50% |
| 11 u |
10 u |
5 u |
Jaslyn's mass compared to Caden's mass in percent
= 100% + 10%
= 110%
Hazel's mass compared to Caden's mass in percent
= 100% - 50%
= 50%
110% =
110100 =
111050% =
50100 =
510Caden's mass is the repeated identity. Make Caden's mass the same.
Caden's mass = 10 u
Mass that Jaslyn has more than Hazel
= 11 u - 5 u
= 6 u
6 u = 54
1 u = 54 ÷ 6 = 9
Caden's mass
= 10 u
= 10 x 9
= 90 kg
Answer(s): 90 kg
