Joelle is 20% heavier than Valen. Rachel is 50% lighter than Valen. Joelle is 42 kg heavier than Rachel. What is Valen's mass?
| Joelle |
Valen |
Rachel |
| 120% |
100% |
|
| |
100% |
50% |
| 12 u |
10 u |
5 u |
Joelle's mass compared to Valen's mass in percent
= 100% + 20%
= 120%
Rachel's mass compared to Valen's mass in percent
= 100% - 50%
= 50%
120% =
120100 =
121050% =
50100 =
510Valen's mass is the repeated identity. Make Valen's mass the same.
Valen's mass = 10 u
Mass that Joelle has more than Rachel
= 12 u - 5 u
= 7 u
7 u = 42
1 u = 42 ÷ 7 = 6
Valen's mass
= 10 u
= 10 x 6
= 60 kg
Answer(s): 60 kg
