Jen is 30% heavier than Nick. Shannon is 10% lighter than Nick. Jen is 20 kg heavier than Shannon. What is Nick's mass?
| Jen |
Nick |
Shannon |
| 130% |
100% |
|
| |
100% |
90% |
| 13 u |
10 u |
9 u |
Jen's mass compared to Nick's mass in percent
= 100% + 30%
= 130%
Shannon's mass compared to Nick's mass in percent
= 100% - 10%
= 90%
130% =
130100 =
131090% =
90100 =
910Nick's mass is the repeated identity. Make Nick's mass the same.
Nick's mass = 10 u
Mass that Jen has more than Shannon
= 13 u - 9 u
= 4 u
4 u = 20
1 u = 20 ÷ 4 = 5
Nick's mass
= 10 u
= 10 x 5
= 50 kg
Answer(s): 50 kg
