Rachel is 30% heavier than Japheth. Dana is 10% lighter than Japheth. Rachel is 36 kg heavier than Dana. What is Japheth's mass?
| Rachel |
Japheth |
Dana |
| 130% |
100% |
|
| |
100% |
90% |
| 13 u |
10 u |
9 u |
Rachel's mass compared to Japheth's mass in percent
= 100% + 30%
= 130%
Dana'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 Rachel has more than Dana
= 13 u - 9 u
= 4 u
4 u = 36
1 u = 36 ÷ 4 = 9
Japheth's mass
= 10 u
= 10 x 9
= 90 kg
Answer(s): 90 kg
