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