Victoria is 30% heavier than Japheth. Raeann is 10% lighter than Japheth. Victoria is 32 kg heavier than Raeann. What is Japheth's mass?
| Victoria |
Japheth |
Raeann |
| 130% |
100% |
|
| |
100% |
90% |
| 13 u |
10 u |
9 u |
Victoria's mass compared to Japheth's mass in percent
= 100% + 30%
= 130%
Raeann's mass compared to Japheth's mass in percent
= 100% - 10%
= 90%
130% =
130100 =
131090% =
90100 =
910Japheth's mass is the repeated identity. Make Japheth's mass the same.
Japheth's mass = 10 u
Mass that Victoria has more than Raeann
= 13 u - 9 u
= 4 u
4 u = 32
1 u = 32 ÷ 4 = 8
Japheth's mass
= 10 u
= 10 x 8
= 80 kg
Answer(s): 80 kg
